Knowledge

Sampling (statistics)

Source 📝

876:) is a type of nonprobability sampling which involves the sample being drawn from that part of the population which is close to hand. That is, a population is selected because it is readily available and convenient. It may be through meeting the person or including a person in the sample when one meets them or chosen by finding them through technological means such as the internet or through phone. The researcher using such a sample cannot scientifically make generalizations about the total population from this sample because it would not be representative enough. For example, if the interviewer were to conduct such a survey at a shopping center early in the morning on a given day, the people that they could interview would be limited to those given there at that given time, which would not represent the views of other members of society in such an area, if the survey were to be conducted at different times of day and several times per week. This type of sampling is most useful for pilot testing. Several important considerations for researchers using convenience samples include: 1290:), or survey administrators may not have been able to contact them. In this case, there is a risk of differences between respondents and nonrespondents, leading to biased estimates of population parameters. This is often addressed by improving survey design, offering incentives, and conducting follow-up studies which make a repeated attempt to contact the unresponsive and to characterize their similarities and differences with the rest of the frame. The effects can also be mitigated by weighting the data (when population benchmarks are available) or by imputing data based on answers to other questions. Nonresponse is particularly a problem in internet sampling. Reasons for this problem may include improperly designed surveys, over-surveying (or survey fatigue), and the fact that potential participants may have multiple e-mail addresses, which they do not use anymore or do not check regularly. 795:. This is a complex form of cluster sampling in which two or more levels of units are embedded one in the other. The first stage consists of constructing the clusters that will be used to sample from. In the second stage, a sample of primary units is randomly selected from each cluster (rather than using all units contained in all selected clusters). In following stages, in each of those selected clusters, additional samples of units are selected, and so on. All ultimate units (individuals, for instance) selected at the last step of this procedure are then surveyed. This technique, thus, is essentially the process of taking random subsamples of preceding random samples. 4883: 1342: 632:
criteria, stratifying variables may be related to some, but not to others, further complicating the design, and potentially reducing the utility of the strata. Finally, in some cases (such as designs with a large number of strata, or those with a specified minimum sample size per group), stratified sampling can potentially require a larger sample than would other methods (although in most cases, the required sample size would be no larger than would be required for simple random sampling).
1063: 992: 460: 38: 4869: 601: 501: 740:
second school 151 to 330 (= 150 + 180), the third school 331 to 530, and so on to the last school (1011 to 1500). We then generate a random start between 1 and 500 (equal to 1500/3) and count through the school populations by multiples of 500. If our random start was 137, we would select the schools which have been allocated numbers 137, 637, and 1137, i.e. the first, fourth, and sixth schools.
4907: 4895: 2587: 694:
variable during the sampling phase. Although the method is susceptible to the pitfalls of post hoc approaches, it can provide several benefits in the right situation. Implementation usually follows a simple random sample. In addition to allowing for stratification on an ancillary variable, poststratification can be used to implement weighting, which can improve the precision of a sample's estimates.
755: 548:
vice versa), leading to an unrepresentative sample. Selecting (e.g.) every 10th street number along the street ensures that the sample is spread evenly along the length of the street, representing all of these districts. (If we always start at house #1 and end at #991, the sample is slightly biased towards the low end; by randomly selecting the start between #1 and #10, this bias is eliminated.)
272:
not usually possible or practical. There is no way to identify all rats in the set of all rats. Where voting is not compulsory, there is no way to identify which people will vote at a forthcoming election (in advance of the election). These imprecise populations are not amenable to sampling in any of the ways below and to which we could apply statistical theory.
198:" from which our sample is drawn. A population can be defined as including all people or items with the characteristics one wishes to understand. Because there is very rarely enough time or money to gather information from everyone or everything in a population, the goal becomes finding a representative sample (or subset) of that population. 1106:('WR' â€“ an element may appear multiple times in the one sample). For example, if we catch fish, measure them, and immediately return them to the water before continuing with the sample, this is a WR design, because we might end up catching and measuring the same fish more than once. However, if we do not return the fish to the water or 913:
the research and link to a survey. After following the link and completing the survey, the volunteer submits the data to be included in the sample population. This method can reach a global population but is limited by the campaign budget. Volunteers outside the invited population may also be included in the sample.
832:. For example, interviewers might be tempted to interview those who look most helpful. The problem is that these samples may be biased because not everyone gets a chance of selection. This random element is its greatest weakness and quota versus probability has been a matter of controversy for several years. 746:
for instance, a survey attempting to measure the number of guest-nights spent in hotels might use each hotel's number of rooms as an auxiliary variable. In some cases, an older measurement of the variable of interest can be used as an auxiliary variable when attempting to produce more current estimates.
1298:
In many situations, the sample fraction may be varied by stratum and data will have to be weighted to correctly represent the population. Thus for example, a simple random sample of individuals in the United Kingdom might not include some in remote Scottish islands who would be inordinately expensive
1185:
Sampling enables the selection of right data points from within the larger data set to estimate the characteristics of the whole population. For example, there are about 600 million tweets produced every day. It is not necessary to look at all of them to determine the topics that are discussed during
745:
The PPS approach can improve accuracy for a given sample size by concentrating sample on large elements that have the greatest impact on population estimates. PPS sampling is commonly used for surveys of businesses, where element size varies greatly and auxiliary information is often available â€“
739:
Example: Suppose we have six schools with populations of 150, 180, 200, 220, 260, and 490 students respectively (total 1500 students), and we want to use student population as the basis for a PPS sample of size three. To do this, we could allocate the first school numbers 1 to 150, the
721:
In some cases the sample designer has access to an "auxiliary variable" or "size measure", believed to be correlated to the variable of interest, for each element in the population. These data can be used to improve accuracy in sample design. One option is to use the auxiliary variable as a basis for
608:
When the population embraces a number of distinct categories, the frame can be organized by these categories into separate "strata." Each stratum is then sampled as an independent sub-population, out of which individual elements can be randomly selected. The ratio of the size of this random selection
472:
of elements has the same chance of selection as any other such pair (and similarly for triples, and so on). This minimizes bias and simplifies analysis of results. In particular, the variance between individual results within the sample is a good indicator of variance in the overall population, which
315:
People living on their own are certain to be selected, so we simply add their income to our estimate of the total. But a person living in a household of two adults has only a one-in-two chance of selection. To reflect this, when we come to such a household, we would count the selected person's income
252:
The population from which the sample is drawn may not be the same as the population from which information is desired. Often there is a large but not complete overlap between these two groups due to frame issues etc. (see below). Sometimes they may be entirely separate – for instance, one might study
798:
Multistage sampling can substantially reduce sampling costs, where the complete population list would need to be constructed (before other sampling methods could be applied). By eliminating the work involved in describing clusters that are not selected, multistage sampling can reduce the large costs
623:
Third, it is sometimes the case that data are more readily available for individual, pre-existing strata within a population than for the overall population; in such cases, using a stratified sampling approach may be more convenient than aggregating data across groups (though this may potentially be
619:
Second, utilizing a stratified sampling method can lead to more efficient statistical estimates (provided that strata are selected based upon relevance to the criterion in question, instead of availability of the samples). Even if a stratified sampling approach does not lead to increased statistical
485:
Also, simple random sampling can be cumbersome and tedious when sampling from a large target population. In some cases, investigators are interested in research questions specific to subgroups of the population. For example, researchers might be interested in examining whether cognitive ability as a
951:
sampling-method allows estimates of changes in the population, for example with regard to chronic illness to job stress to weekly food expenditures. Panel sampling can also be used to inform researchers about within-person health changes due to age or to help explain changes in continuous dependent
912:
Volunteers may be invited through advertisements in social media. The target population for advertisements can be selected by characteristics like location, age, sex, income, occupation, education, or interests using tools provided by the social medium. The advertisement may include a message about
784:
Cluster sampling (also known as clustered sampling) generally increases the variability of sample estimates above that of simple random sampling, depending on how the clusters differ between one another as compared to the within-cluster variation. For this reason, cluster sampling requires a larger
780:
listing all elements in the target population. Instead, clusters can be chosen from a cluster-level frame, with an element-level frame created only for the selected clusters. In the example above, the sample only requires a block-level city map for initial selections, and then a household-level map
733:
Systematic sampling theory can be used to create a probability proportionate to size sample. This is done by treating each count within the size variable as a single sampling unit. Samples are then identified by selecting at even intervals among these counts within the size variable. This method is
271:
In the most straightforward case, such as the sampling of a batch of material from production (acceptance sampling by lots), it would be most desirable to identify and measure every single item in the population and to include any one of them in our sample. However, in the more general case this is
208:
Although the population of interest often consists of physical objects, sometimes it is necessary to sample over time, space, or some combination of these dimensions. For instance, an investigation of supermarket staffing could examine checkout line length at various times, or a study on endangered
73:
to estimate characteristics of the whole population. The subset is meant to reflect the whole population and statisticians attempt to collect samples that are representative of the population. Sampling has lower costs and faster data collection compared to recording data from the entire population,
1302:
More generally, data should usually be weighted if the sample design does not give each individual an equal chance of being selected. For instance, when households have equal selection probabilities but one person is interviewed from within each household, this gives people from large households a
547:
For example, suppose we wish to sample people from a long street that starts in a poor area (house No. 1) and ends in an expensive district (house No. 1000). A simple random selection of addresses from this street could easily end up with too many from the high end and too few from the low end (or
386:
chance of selection (these are sometimes referred to as 'out of coverage'/'undercovered'), or where the probability of selection cannot be accurately determined. It involves the selection of elements based on assumptions regarding the population of interest, which forms the criteria for selection.
938:
is the method of first selecting a group of participants through a random sampling method and then asking that group for (potentially the same) information several times over a period of time. Therefore, each participant is interviewed at two or more time points; each period of data collection is
693:
Stratification is sometimes introduced after the sampling phase in a process called "poststratification". This approach is typically implemented due to a lack of prior knowledge of an appropriate stratifying variable or when the experimenter lacks the necessary information to create a stratifying
486:
predictor of job performance is equally applicable across racial groups. Simple random sampling cannot accommodate the needs of researchers in this situation, because it does not provide subsamples of the population, and other sampling strategies, such as stratified sampling, can be used instead.
396:
Example: We visit every household in a given street, and interview the first person to answer the door. In any household with more than one occupant, this is a nonprobability sample, because some people are more likely to answer the door (e.g. an unemployed person who spends most of their time at
1022:
Theoretical sampling occurs when samples are selected on the basis of the results of the data collected so far with a goal of developing a deeper understanding of the area or develop theories. Extreme or very specific cases might be selected in order to maximize the likelihood a phenomenon will
299:
is a sample in which every unit in the population has a chance (greater than zero) of being selected in the sample, and this probability can be accurately determined. The combination of these traits makes it possible to produce unbiased estimates of population totals, by weighting sampled units
575:
that accuracy. (In the two examples of systematic sampling that are given above, much of the potential sampling error is due to variation between neighbouring houses – but because this method never selects two neighbouring houses, the sample will not give us any information on that variation.)
559:
For example, consider a street where the odd-numbered houses are all on the north (expensive) side of the road, and the even-numbered houses are all on the south (cheap) side. Under the sampling scheme given above, it is impossible to get a representative sample; either the houses sampled will
508:
Systematic sampling (also known as interval sampling) relies on arranging the study population according to some ordering scheme and then selecting elements at regular intervals through that ordered list. Systematic sampling involves a random start and then proceeds with the selection of every
248:
population is an outcome. In such cases, sampling theory may treat the observed population as a sample from a larger 'superpopulation'. For example, a researcher might study the success rate of a new 'quit smoking' program on a test group of 100 patients, in order to predict the effects of the
852:
classifier with Gaussian distributions. The notion of minimax sampling is recently developed for a general class of classification rules, called class-wise smart classifiers. In this case, the sampling ratio of classes is selected so that the worst case classifier error over all the possible
631:
There are, however, some potential drawbacks to using stratified sampling. First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well as leading to increased complexity of population estimates. Second, when examining multiple
768:
Sometimes it is more cost-effective to select respondents in groups ('clusters'). Sampling is often clustered by geography, or by time periods. (Nearly all samples are in some sense 'clustered' in time – although this is rarely taken into account in the analysis.) For instance, if surveying
160:. More than two million people responded to the study with their names obtained through magazine subscription lists and telephone directories. It was not appreciated that these lists were heavily biased towards Republicans and the resulting sample, though very large, was deeply flawed. 894:
is a similar technique, where existing study subjects are used to recruit more subjects into the sample. Some variants of snowball sampling, such as respondent driven sampling, allow calculation of selection probabilities and are probability sampling methods under certain conditions.
305:
Example: We want to estimate the total income of adults living in a given street. We visit each household in that street, identify all adults living there, and randomly select one adult from each household. (For example, we can allocate each person a random number, generated from a
174:(ELD), their country's election commission, sample counts help reduce speculation and misinformation, while helping election officials to check against the election result for that electoral division. The reported sample counts yield a fairly accurate indicative result with a 95% 725:
Another option is probability proportional to size ('PPS') sampling, in which the selection probability for each element is set to be proportional to its size measure, up to a maximum of 1. In a simple PPS design, these selection probabilities can then be used as the basis for
627:
Finally, since each stratum is treated as an independent population, different sampling approaches can be applied to different strata, potentially enabling researchers to use the approach best suited (or most cost-effective) for each identified subgroup within the population.
481:
produce five men and five women, but any given trial is likely to over represent one sex and underrepresent the other. Systematic and stratified techniques attempt to overcome this problem by "using information about the population" to choose a more "representative" sample.
702:
Choice-based sampling is one of the stratified sampling strategies. In choice-based sampling, the data are stratified on the target and a sample is taken from each stratum so that the rare target class will be more represented in the sample. The model is then built on this
707:. The effects of the input variables on the target are often estimated with more precision with the choice-based sample even when a smaller overall sample size is taken, compared to a random sample. The results usually must be adjusted to correct for the oversampling. 1189:
In manufacturing different types of sensory data such as acoustics, vibration, pressure, current, voltage, and controller data are available at short time intervals. To predict down-time it may not be necessary to look at all the data but a sample may be sufficient.
279:
which has the property that we can identify every single element and include any in our sample. The most straightforward type of frame is a list of elements of the population (preferably the entire population) with appropriate contact information. For example, in an
467:
In a simple random sample (SRS) of a given size, all subsets of a sampling frame have an equal probability of being selected. Each element of the frame thus has an equal probability of selection: the frame is not subdivided or partitioned. Furthermore, any given
476:
Simple random sampling can be vulnerable to sampling error because the randomness of the selection may result in a sample that does not reflect the makeup of the population. For instance, a simple random sample of ten people from a given country will
1303:
smaller chance of being interviewed. This can be accounted for using survey weights. Similarly, households with more than one telephone line have a greater chance of being selected in a random digit dialing sample, and weights can adjust for this.
583:'simple random sampling' because different subsets of the same size have different selection probabilities – e.g. the set {4,14,24,...,994} has a one-in-ten probability of selection, but the set {4,13,24,34,...} has zero probability of selection. 391:, placing limits on how much information a sample can provide about the population. Information about the relationship between sample and population is limited, making it difficult to extrapolate from the sample to the population. 772:
Clustering can reduce travel and administrative costs. In the example above, an interviewer can make a single trip to visit several households in one block, rather than having to drive to a different block for each household.
2170:
Dillman, D. A., Eltinge, J. L., Groves, R. M., & Little, R. J. A. (2002). "Survey nonresponse in design, data collection, and analysis". In: R. M. Groves, D. A. Dillman, J. L. Eltinge, & R. J. A. Little (Eds.),
2269:
Singh, G N, Jaiswal, A. K., and Pandey A. K. (2021), Improved Imputation Methods for Missing Data in Two-Occasion Successive Sampling, Communications in Statistics: Theory and Methods. DOI:10.1080/03610926.2021.1944211
228:
of its results over infinitely many trials), while his 'sample' was formed from observed results from that wheel. Similar considerations arise when taking repeated measurements of properties of materials such as the
825:. Then judgement is used to select the subjects or units from each segment based on a specified proportion. For example, an interviewer may be told to sample 200 females and 300 males between the age of 45 and 60. 333:
have the same probability of selection, this is known as an 'equal probability of selection' (EPS) design. Such designs are also referred to as 'self-weighting' because all sampled units are given the same weight.
249:
program if it were made available nationwide. Here the superpopulation is "everybody in the country, given access to this treatment" – a group that does not yet exist since the program is not yet available to all.
1299:
to sample. A cheaper method would be to use a stratified sample with urban and rural strata. The rural sample could be under-represented in the sample, but weighted up appropriately in the analysis to compensate.
256:
Time spent in making the sampled population and population of concern precise is often well spent because it raises many issues, ambiguities, and questions that would otherwise have been overlooked at this stage.
551:
However, systematic sampling is especially vulnerable to periodicities in the list. If periodicity is present and the period is a multiple or factor of the interval used, the sample is especially likely to be
880:
Are there controls within the research design or experiment which can serve to lessen the impact of a non-random convenience sample, thereby ensuring the results will be more representative of the population?
1204:
Survey results are typically subject to some error. Total errors can be classified into sampling errors and non-sampling errors. The term "error" here includes systematic biases as well as random errors.
1833: 426:
Within any of the types of frames identified above, a variety of sampling methods can be employed individually or in combination. Factors commonly influencing the choice between these designs include:
329:
In the above example, not everybody has the same probability of selection; what makes it a probability sample is the fact that each person's probability is known. When every element in the population
848:
minimax ratio whose value is proved to be 0.5: in a binary classification, the class-sample sizes should be chosen equally. This ratio can be proved to be minimax ratio only under the assumption of
568:
be from the even-numbered, cheap side, unless the researcher has previous knowledge of this bias and avoids it by a using a skip which ensures jumping between the two sides (any odd-numbered skip).
418:
probability design into a nonprobability design if the characteristics of nonresponse are not well understood, since nonresponse effectively modifies each element's probability of being sampled.
979:
involves finding a small group of initial respondents and using them to recruit more respondents. It is particularly useful in cases where the population is hidden or difficult to enumerate.
1264:
After sampling, a review is held of the exact process followed in sampling, rather than that intended, in order to study any effects that any divergences might have on subsequent analysis.
616:
First, dividing the population into distinct, independent strata can enable researchers to draw inferences about specific subgroups that may be lost in a more generalized random sample.
916:
It is difficult to make generalizations from this sample because it may not represent the total population. Often, volunteers have a strong interest in the main topic of the survey.
521:
th element in the list. A simple example would be to select every 10th name from the telephone directory (an 'every 10th' sample, also referred to as 'sampling with a skip of 10').
730:. However, this has the drawback of variable sample size, and different portions of the population may still be over- or under-represented due to chance variation in selections. 620:
efficiency, such a tactic will not result in less efficiency than would simple random sampling, provided that each stratum is proportional to the group's size in the population.
2193:
Vehovar, V., Batagelj, Z., Manfreda, K.L., & Zaletel, M. (2002). "Nonresponse in web surveys". In: R. M. Groves, D. A. Dillman, J. L. Eltinge, & R. J. A. Little (Eds.),
1186:
the day, nor is it necessary to look at all the tweets to determine the sentiment on each of the topics. A theoretical formulation for sampling Twitter data has been developed.
517:=(population size/sample size). It is important that the starting point is not automatically the first in the list, but is instead randomly chosen from within the first to the 1241:
Non-sampling errors are other errors which can impact final survey estimates, caused by problems in data collection, processing, or sample design. Such errors may include:
253:
rats in order to get a better understanding of human health, or one might study records from people born in 2008 in order to make predictions about people born in 2009.
5350: 2140: 397:
home is more likely to answer than an employed housemate who might be at work when the interviewer calls) and it's not practical to calculate these probabilities.
883:
Is there good reason to believe that a particular convenience sample would or should respond or behave differently than a random sample from the same population?
579:
As described above, systematic sampling is an EPS method, because all elements have the same probability of selection (in the example given, one in ten). It is
387:
Hence, because the selection of elements is nonrandom, nonprobability sampling does not allow the estimation of sampling errors. These conditions give rise to
540:
the variable by which the list is ordered is correlated with the variable of interest. 'Every 10th' sampling is especially useful for efficient sampling from
209:
penguins might aim to understand their usage of various hunting grounds over time. For the time dimension, the focus may be on periods or discrete occasions.
205:
is of high enough quality to be released to the customer or should be scrapped or reworked due to poor quality. In this case, the batch is the population.
2184:
Dillman, D.A., Smyth, J.D., & Christian, L. M. (2009). Internet, mail, and mixed-mode surveys: The tailored design method. San Francisco: Jossey-Bass.
2538:
ASTM E122 Standard Practice for Calculating Sample Size to Estimate, With a Specified Tolerable Error, the Average for Characteristic of a Lot or Process
840:
In imbalanced datasets, where the sampling ratio does not follow the population statistics, one can resample the dataset in a conservative manner called
224:, and used this to identify a biased wheel. In this case, the 'population' Jagger wanted to investigate was the overall behaviour of the wheel (i.e. the 2394: 2360: 1991: 571:
Another drawback of systematic sampling is that even in scenarios where it is more accurate than SRS, its theoretical properties make it difficult to
1032: 125:
but as the sample size that would be needed to achieve a particular upper bound on the sampling error with probability 1000/1001. His estimates used
5411: 5370: 1621:
The historically important books by Deming and Kish remain valuable for insights for social scientists (particularly about the U.S. census and the
668:
Permits greater balancing of statistical power of tests of differences between strata by sampling equal numbers from strata varying widely in size.
927:
is a method of sampling elements in a region whereby an element is sampled if a chosen line segment, called a "transect", intersects the element.
1458:
The textbook by Groves et alia provides an overview of survey methodology, including recent literature on questionnaire development (informed by
5365: 4004: 310:
between 0 and 1, and select the person with the highest number in each household). We then interview the selected person and find their income.
5138: 5431: 4509: 97:
are employed to guide the practice. In business and medical research, sampling is widely used for gathering information about a population.
5380: 4659: 4283: 2924: 828:
It is this second step which makes the technique one of non-probability sampling. In quota sampling the selection of the sample is non-
2083:
Lazarsfeld, P., & Fiske, M. (1938). The" panel" as a new tool for measuring opinion. The Public Opinion Quarterly, 2(4), 596–612.
716: 4945: 4057: 769:
households within a city, we might choose to select 100 city blocks and then interview every household within the selected blocks.
5390: 4496: 785:
sample than SRS to achieve the same level of accuracy – but cost savings from clustering might still make this a cheaper option.
1278:
item non-response (submission or participation in survey but failing to complete one or more components/questions of the survey)
5375: 5322: 2591: 1286:, many of the individuals identified as part of the sample may be unwilling to participate, not have the time to participate ( 5355: 2469: 2250: 1654: 1611: 1589: 1567: 1528: 799:
associated with traditional cluster sampling. However, each sample may not be a full representative of the whole population.
201:
Sometimes what defines a population is obvious. For example, a manufacturer needs to decide whether a batch of material from
2919: 2619: 5421: 3523: 2671: 5312: 5302: 2332:"Beyond the Existence Proof: Ontological Conditions, Epistemological Implications, and In-Depth Interview Research."], 2305: 1876: 1036: 4306: 4198: 2319: 2281: 2218: 1683: 1505: 1478: 307: 167: 81:
measures one or more properties (such as weight, location, colour or mass) of independent objects or individuals. In
586:
Systematic sampling can also be adapted to a non-EPS approach; for an example, see discussion of PPS samples below.
5472: 5462: 4911: 4484: 4358: 2108: 151: 649:
The variables upon which the population is stratified are strongly correlated with the desired dependent variable.
5467: 4542: 4203: 3948: 3319: 2909: 2207:
Porter; Whitcomb; Weitzer (2004). "Multiple surveys of students and survey fatigue". In Porter, Stephen R (ed.).
194:
Successful statistical practice is based on focused problem definition. In sampling, this includes defining the "
17: 5495: 5457: 5452: 4593: 3805: 3612: 3501: 3459: 1381: 1321: 171: 3533: 4836: 3795: 2698: 2479: 1788: 1622: 1512: 1489:
of survey sampling and require some knowledge of basic statistics, as discussed in the following textbooks:
1411: 909:
The voluntary sampling method is a type of non-probability sampling. Volunteers choose to complete a survey.
2298:
Sampling of Heterogeneous and Dynamic Material Systems: Theories of Heterogeneity, Sampling and Homogenizing
1074: 1003: 5248: 4938: 4387: 4336: 4321: 4311: 4180: 4052: 4019: 3845: 3800: 3630: 1035:, the samples which are used for training a machine learning algorithm are actively selected, also compare 965: 886:
Is the question being asked by the research one that can adequately be answered using a convenience sample?
849: 113:
Random sampling by using lots is an old idea, mentioned several times in the Bible. In 1786, Pierre Simon
5500: 4899: 4731: 4532: 4456: 3757: 3511: 3180: 2644: 182:
within 4-5%; ELD reminded the public that sample counts are separate from official results, and only the
134: 5143: 2058: 5505: 5173: 4616: 4588: 4583: 4331: 4090: 3996: 3976: 3884: 3595: 3413: 2896: 2768: 1989:
Scott, A.J.; Wild, C.J. (1986). "Fitting logistic models under case-control or choice-based sampling".
556:
representative of the overall population, making the scheme less accurate than simple random sampling.
734:
sometimes called PPS-sequential or monetary unit sampling in the case of audits or forensic sampling.
5444: 5385: 5213: 5066: 4991: 4348: 4116: 3837: 3762: 3691: 3620: 3540: 3528: 3398: 3386: 3379: 3087: 2808: 1704: 1520: 1416: 1401: 1119: 961: 31: 4831: 4598: 4461: 4146: 4111: 4075: 3860: 3302: 3211: 3170: 3082: 2773: 2612: 2541:
ASTM E141 Standard Practice for Acceptance of Evidence Based on the Results of Probability Sampling
1792: 1396: 845: 225: 74:
and thus, it can provide insights in cases where it is infeasible to measure an entire population.
5218: 5061: 4955: 4931: 4740: 4353: 4293: 4230: 3868: 3852: 3590: 3452: 3442: 3292: 3206: 1555: 1421: 1406: 1371: 1251:
Measurement error: e.g. when respondents misunderstand a question, or find it difficult to answer
924: 374: 230: 70: 1130:
Formulas, tables, and power function charts are well known approaches to determine sample size.
5335: 5317: 5208: 5093: 4996: 4971: 4778: 4708: 4501: 4438: 4193: 4080: 3077: 2974: 2881: 2760: 2659: 2134:
Deepan Palguna; Vikas Joshi; Venkatesan Chakaravarthy; Ravi Kothari; L. V. Subramaniam (2015).
1626: 454: 195: 163: 1808: 5345: 5228: 5088: 4803: 4745: 4688: 4514: 4407: 4316: 4042: 3926: 3785: 3777: 3667: 3659: 3474: 3370: 3348: 3307: 3272: 3239: 3185: 3160: 3054: 3014: 2816: 2639: 2133: 1431: 1326:
Physical randomization devices such as coins, playing cards or sophisticated devices such as
1226:: Random variation in the results due to the elements in the sample being selected at random. 1220:: When the true selection probabilities differ from those assumed in calculating the results. 952:
variables such as spousal interaction. There have been several proposed methods of analyzing
2358:(1984). "Present Position and Potential Developments: Some Personal Views: Sample surveys". 2154:
Berinsky, A. J. (2008). "Survey non-response". In: W. Donsbach & M. W. Traugott (Eds.),
1538:
The elementary book by Scheaffer et alia uses quadratic equations from high-school algebra:
604:
A visual representation of selecting a random sample using the stratified sampling technique
504:
A visual representation of selecting a random sample using the systematic sampling technique
121:. He also computed probabilistic estimates of the error. These were not expressed as modern 5266: 5203: 5193: 5046: 4986: 4981: 4726: 4301: 4250: 4226: 4188: 4106: 4085: 4037: 3916: 3894: 3863: 3772: 3649: 3600: 3518: 3491: 3447: 3403: 3165: 2941: 2821: 1459: 529: 403: 338: 2550:
ASTM E2234 Standard Practice for Sampling a Stream of Product by Attributes Indexed by AQL
1599: 8: 5426: 5395: 5148: 5056: 5031: 4873: 4798: 4721: 4402: 4166: 4159: 4121: 4029: 4009: 3981: 3714: 3580: 3575: 3565: 3557: 3375: 3336: 3226: 3216: 3125: 2904: 2860: 2778: 2703: 2605: 2213:. New directions for institutional research. San Francisco: Jossey-Bass. pp. 63–74. 1550:
More mathematical statistics is required for Lohr, for SĂ€rndal et alia, and for Cochran:
1386: 1376: 1315: 904: 861: 822: 792: 758:
A visual representation of selecting a random sample using the cluster sampling technique
595: 533: 495: 354: 346: 342: 289: 175: 122: 98: 86: 5243: 5158: 5133: 5105: 5078: 5013: 4887: 4698: 4552: 4448: 4397: 4273: 4170: 4154: 4131: 3908: 3642: 3625: 3585: 3496: 3391: 3353: 3324: 3284: 3244: 3190: 3107: 2793: 2788: 2499: 2411: 2392:(1993). "Populations and Selection: Limitations of Statistics (Presidential address)". 2377: 2008: 2004: 1926: 1757: 1646: 1486: 1347: 1257: 1236: 948: 944: 818: 411: 320:
selected from that household can be loosely viewed as also representing the person who
285: 94: 90: 54: 5360: 624:
at odds with the previously noted importance of utilizing criterion-relevant strata).
85:, weights can be applied to the data to adjust for the sample design, particularly in 5233: 5198: 5128: 4882: 4793: 4763: 4755: 4575: 4566: 4491: 4422: 4278: 4263: 4238: 4126: 4067: 3933: 3921: 3547: 3464: 3408: 3331: 3175: 3097: 2876: 2750: 2547:
ASTM E1994 Standard Practice for Use of Process Oriented AOQL and LTPD Sampling Plans
2465: 2315: 2301: 2286: 2277: 2246: 2214: 1971: 1872: 1679: 1660: 1650: 1639: 1634: 1607: 1585: 1563: 1524: 1501: 1474: 1366: 1341: 1125: 976: 891: 610: 183: 130: 126: 50: 1966: 1949: 1306:
Weights can also serve other purposes, such as helping to correct for non-response.
158: 5340: 5153: 5001: 4818: 4773: 4537: 4524: 4417: 4392: 4326: 4258: 4136: 3744: 3637: 3570: 3483: 3430: 3249: 3120: 2914: 2798: 2713: 2680: 2491: 2438: 2403: 2369: 2337: 2325: 2000: 1961: 1923: 1749: 1466: 1287: 788: 763: 727: 350: 202: 212:
In other cases, the examined 'population' may be even less tangible. For example,
5276: 5238: 5073: 5036: 4963: 4735: 4479: 4341: 4268: 3943: 3817: 3790: 3767: 3736: 3363: 3358: 3312: 3042: 2693: 2208: 1446: 1391: 1356: 1283: 1107: 1048: 940: 781:
of the 100 selected blocks, rather than a household-level map of the whole city.
179: 146: 138: 118: 82: 4225: 2329: 5286: 5168: 5163: 5118: 5113: 5051: 5026: 4684: 4679: 3142: 3072: 2718: 1493: 1436: 1223: 1217: 1199: 1102:('WOR' â€“ no element can be selected more than once in the same sample) or 808: 777: 678:
Requires selection of relevant stratification variables which can be difficult.
407: 388: 276: 266: 2442: 2341: 636:
A stratified sampling approach is most effective when three conditions are met
5489: 5330: 5307: 5223: 5185: 5123: 4976: 4841: 4808: 4671: 4632: 4443: 4412: 3876: 3830: 3435: 3137: 2964: 2728: 2723: 2368:(The 150th Anniversary of the Royal Statistical Society, number 2): 208–221. 1733: 1598: 1426: 1361: 704: 525: 213: 102: 1834:"Presidential Election 2023: How Accurate Will The Sample Count Be Tonight?" 5281: 5083: 4783: 4716: 4693: 4608: 3938: 3234: 3132: 3067: 3009: 2994: 2931: 2886: 2454: 2450: 2424: 2389: 2355: 1975: 1248:
Under-coverage: sampling frame does not include elements in the population.
1213:
Sampling errors and biases are induced by the sample design. They include:
1152:
The intersection of the column and row is the minimum sample size required.
281: 241: 2453:(2001). "Biometrika centenary: Sample surveys". In D. M. Titterington and 1664: 4923: 4826: 4788: 4471: 4372: 4234: 4047: 4014: 3506: 3423: 3418: 3062: 3019: 2999: 2979: 2969: 2738: 2570: 2495: 2039: 1908: 1892: 1671: 1577: 662:
Allows use of different sampling techniques for different subpopulations.
459: 221: 101:
is used to determine if a production lot of material meets the governing
78: 37: 1062: 991: 853:
population statistics for class prior probabilities, would be the best.
357:. These various ways of probability sampling have two things in common: 5271: 3672: 3152: 2852: 2783: 2733: 2708: 2628: 2429: 2415: 2381: 2012: 1761: 1737: 953: 46: 2503: 600: 500: 3825: 3677: 3297: 3092: 3004: 2989: 2984: 2949: 1441: 541: 2407: 2373: 1753: 3341: 2959: 2836: 2831: 2826: 754: 217: 2059:"Voluntary Sampling Method combined with Social Media advertising" 382:
is any sampling method where some elements of the population have
361:
Every element has a known nonzero probability of being sampled and
186:
will declare the official results once vote counting is complete.
4846: 4547: 2535:
ASTM E105 Standard Practice for Probability Sampling Of Materials
841: 117:
estimated the population of France by using a sample, along with
114: 1924:
Scheaffer, Richard L.; William Mendenhal; R. Lyman Ott. (2006).
659:
Focuses on important subpopulations and ignores irrelevant ones.
613:. There are several potential benefits to stratified sampling. 5416: 5021: 4768: 3749: 3723: 3703: 2954: 2745: 2586: 1275:
unit nonresponse (lack of completion of any part of the survey)
1260:: failure to obtain complete data from all selected individuals 1245:
Over-coverage: inclusion of data from outside of the population
957: 829: 234: 473:
makes it relatively easy to estimate the accuracy of results.
433:
Availability of auxiliary information about units on the frame
2597: 1327: 1149:
Locate the column corresponding to the estimated effect size.
240:
This situation often arises when seeking knowledge about the
1742:
Journal of the Royal Statistical Society. Series A (General)
710: 170:, also known as the sample counts, whereas according to the 2688: 1542:
Scheaffer, Richard L., William Mendenhal and R. Lyman Ott.
463:
A visual representation of selecting a simple random sample
155: 1947: 5351:
Household, Income and Labour Dynamics in Australia Survey
2141:
International Joint Conference on Artificial Intelligence
1860: 1858: 1856: 1854: 939:
called a "wave". The method was developed by sociologist
1950:"Effect of separate sampling on classification accuracy" 1110:
each fish after catching it, this becomes a WOR design.
1948:
Shahrokh Esfahani, Mohammad; Dougherty, Edward (2014).
564:
be from the odd-numbered, expensive side, or they will
436:
Accuracy requirements, and the need to measure accuracy
2564: 1851: 1738:"A Sketch of the History of Survey Sampling in Russia" 1309: 681:
Is not useful when there are no homogeneous subgroups.
609:(or sample) to the size of the population is called a 2484:
Journal of the Operations Research Society of America
2245:(3rd ed.). New York, NY: John Wiley & Sons. 2206: 2166: 2164: 4510:
Autoregressive conditional heteroskedasticity (ARCH)
2544:
ASTM E1402 Standard Terminology Relating to Sampling
2158:(pp. 309–321). Thousand Oaks, CA: Sage Publications. 1702: 1511: 1337: 5417:
European Society for Opinion and Marketing Research
2040:SĂ€rndal, Carl-Erik; Swensson, Bengt; Wretman, Jan. 1943: 1941: 1939: 1909:SĂ€rndal, Carl-Erik; Swensson, Bengt; Wretman, Jan. 1554: 439:
Whether detailed analysis of the sample is expected
3972: 2395:Journal of the Royal Statistical Society, Series A 2361:Journal of the Royal Statistical Society, Series A 2272:Chambers, R L, and Skinner, C J (editors) (2003), 2161: 1992:Journal of the Royal Statistical Society, Series B 1925: 1638: 1146:Locate the row corresponding to the desired power 349:, probability-proportional-to-size sampling, and 5487: 5412:American Association for Public Opinion Research 5371:National Health and Nutrition Examination Survey 1936: 1864: 1787: 1143:Select the table corresponding to the selected α 1137:Postulate the effect size of interest, α, and ÎČ. 1093: 4058:Multivariate adaptive regression splines (MARS) 2197:(pp. 229–242). New York: John Wiley & Sons. 1809:"SAMPLE COUNT - Elections Department Singapore" 1709:. Web: MEASURE Evaluation. pp. 6–8, 62–64. 1158: 665:Improves the accuracy/efficiency of estimation. 41:A visual representation of the sampling process 5366:List of household surveys in the United States 2024: 2022: 1546:, Fifth Edition. Belmont: Duxbury Press, 1996. 5432:World Association for Public Opinion Research 4939: 2613: 2482:(May 1954). "Optimum preventative sampling". 2464:. Oxford University Press. pp. 165–194. 2289:(1975) On probability as a basis for action, 1500:" (5th edition). W.H. Freeman & Company. 1208: 300:according to their probability of selection. 5381:Suffolk University Political Research Center 2175:(pp. 3–26). New York: John Wiley & Sons. 2156:The Sage handbook of public opinion research 1113: 513:th element from then onwards. In this case, 414:. In addition, nonresponse effects may turn 2136:Analysis of Sampling Algorithms for Twitter 2030: 2019: 1891: 1719:Salant, Priscilla, I. Dillman, and A. Don. 1193: 1180: 1173:Noting comments and other contextual events 4953: 4946: 4932: 2658: 2620: 2606: 2056: 1776:Introduction to the Practice of Statistics 1498:Introduction to the practice of statistics 919: 368: 3271: 1988: 1965: 1271:. Two major types of non-response exist: 1254:Processing error: mistakes in data coding 844:. The minimax sampling has its origin in 817:, the population is first segmented into 717:Probability-proportional-to-size sampling 711:Probability-proportional-to-size sampling 446: 316:twice towards the total. (The person who 2420:(Portrait of T. M. F. Smith on page 144) 1602:; Swensson, Bengt; Wretman, Jan (1992). 1515:; Pisani, Robert; Purves, Roger (2007). 753: 646:Variability between strata are maximized 599: 499: 458: 402:Nonprobability sampling methods include 364:involves random selection at some point. 189: 133:and assumed that his sample was random. 69:for short) of individuals from within a 36: 5391:Quinnipiac University Polling Institute 2478: 2240: 1496:and George P. McCabe (February 2005). " 1042: 982: 776:It also means that one does not need a 643:Variability within strata are minimized 27:Selection of data points in statistics. 14: 5488: 5376:New Zealand Attitudes and Values Study 5323:Comparative Study of Electoral Systems 4584:Kaplan–Meier estimator (product limit) 2351:, Hafner Publishing Company, New York 2310:Korn, E.L., and Graubard, B.I. (1999) 1865:Robert M. Groves; et al. (2009). 1774:David S. Moore and George P. McCabe. " 1732: 1633: 1167:Following the defined sampling process 856: 654:Advantages over other sampling methods 589: 489: 284:, possible sampling frames include an 150:prediction of a Republican win in the 4927: 4657: 4224: 3971: 3270: 3040: 2657: 2601: 2449: 2427:(2001). "Centenary: Sample surveys". 2423: 2388: 2354: 2091: 2089: 2057:Ariyaratne, Buddhika (30 July 2017). 1230: 1053: 898: 166:have adopted this practice since the 4894: 4594:Accelerated failure time (AFT) model 1576: 1133:Steps for using sample size tables: 1057: 986: 971: 722:stratification, as discussed above. 447: 5422:International Statistical Institute 4906: 4189:Analysis of variance (ANOVA, anova) 3041: 2565:U.S. federal and military standards 2210:Overcoming survey research problems 1310:Methods of producing random samples 835: 749: 528:, systematic sampling is a type of 421: 24: 5313:American National Election Studies 5303:List of comparative social surveys 4284:Cochran–Mantel–Haenszel statistics 2910:Pearson product-moment correlation 2349:Basic Ideas of Scientific Sampling 2263: 2241:Cochran, William G. (1977-01-01). 2101: 2086: 2050: 2005:10.1111/j.2517-6161.1986.tb01400.x 1831: 1258:Non-response or Participation bias 1037:active learning (machine learning) 1026: 532:. It is easy to implement and the 61:is the selection of a subset or a 25: 5517: 2579: 1791:; Pisani, Robert; Purves, Roger. 1293: 930: 802: 524:As long as the starting point is 260: 4905: 4893: 4881: 4868: 4867: 4658: 2585: 2243:Sampling Techniques, 3rd Edition 1832:Ho, Timothy (1 September 2023). 1340: 1061: 990: 4543:Least-squares spectral analysis 2234: 2200: 2187: 2178: 2148: 2127: 2118: 2077: 1982: 1917: 1902: 1703:Lance, P.; Hattori, A. (2016). 1322:pseudo-random number generators 1163:Good data collection involves: 943:in 1938 as a means of studying 536:induced can make it efficient, 430:Nature and quality of the frame 337:Probability sampling includes: 154:went badly awry, due to severe 3524:Mean-unbiased minimum-variance 2627: 2109:"Examples of sampling methods" 2042:Model Assisted Survey Sampling 1911:Model Assisted Survey Sampling 1885: 1825: 1801: 1781: 1768: 1726: 1721:How to conduct your own survey 1713: 1696: 1604:Model assisted survey sampling 1267:A particular problem involves 1170:Keeping the data in time order 684:Can be expensive to implement. 13: 1: 4837:Geographic information system 4053:Simultaneous equations models 2033:Sampling: Design and Analysis 1967:10.1093/bioinformatics/btt662 1896:Sampling: Design and analysis 1689: 1623:Institute for Social Research 1582:Sampling: Design and analysis 1485:The other books focus on the 1412:Pseudo-random number sampling 1094:Replacement of selected units 137:introduced sample surveys to 4020:Coefficient of determination 3631:Uniformly most powerful test 2554: 2511: 1320:Mathematical algorithms for 1159:Sampling and data collection 966:structural equation modeling 890:In social science research, 7: 5356:International Social Survey 4589:Proportional hazards models 4533:Spectral density estimation 4515:Vector autoregression (VAR) 3949:Maximum posterior estimator 3181:Randomized controlled trial 2330:10.1007%2Fs11135-012-9775-3 1333: 791:is commonly implemented as 135:Alexander Ivanovich Chuprov 10: 5522: 4349:Multivariate distributions 2769:Average absolute deviation 2312:Analysis of Health Surveys 2293:, 29(4), pp. 146–152. 1928:Elementary survey sampling 1544:Elementary survey sampling 1519:(4th ed.). New York: 1382:Horvitz–Thompson estimator 1234: 1209:Sampling errors and biases 1197: 1123: 1117: 1046: 902: 806: 761: 714: 593: 493: 452: 372: 264: 108: 29: 5440: 5404: 5386:The Phillips Academy Poll 5295: 5259: 5214:Exploratory data analysis 5184: 5104: 5067:Sample size determination 5012: 4962: 4863: 4817: 4754: 4707: 4670: 4666: 4653: 4625: 4607: 4574: 4565: 4523: 4470: 4431: 4380: 4371: 4337:Structural equation model 4292: 4249: 4245: 4220: 4179: 4145: 4099: 4066: 4028: 3995: 3991: 3967: 3907: 3816: 3735: 3699: 3690: 3673:Score/Lagrange multiplier 3658: 3611: 3556: 3482: 3473: 3283: 3279: 3266: 3225: 3199: 3151: 3106: 3088:Sample size determination 3053: 3049: 3036: 2940: 2895: 2869: 2851: 2807: 2759: 2679: 2670: 2666: 2653: 2635: 2342:10.1007/s11135-012-9775-3 2324:Lucas, Samuel R. (2012). 2291:The American Statistician 1562:(Third ed.). Wiley. 1417:Sample size determination 1402:Random-sampling mechanism 1120:Sample size determination 1114:Sample size determination 442:Cost/operational concerns 216:studied the behaviour of 32:Sampling (disambiguation) 4832:Environmental statistics 4354:Elliptical distributions 4147:Generalized linear model 4076:Simple linear regression 3846:Hodges–Lehmann estimator 3303:Probability distribution 3212:Stochastic approximation 2774:Coefficient of variation 1453: 1397:Replication (statistics) 1194:Errors in sample surveys 1181:Applications of sampling 1140:Check sample size table 1098:Sampling schemes may be 1023:actually be observable. 226:probability distribution 5327:Emerson College Polling 5219:Multivariate statistics 5062:Nonprobability sampling 4492:Cross-correlation (XCF) 4100:Non-standard predictors 3534:Lehmann–ScheffĂ© theorem 3207:Adaptive clinical trial 2529: 2443:10.1093/biomet/88.1.167 2274:Analysis of Survey Data 1723:. No. 300.723 S3. 1994. 1706:Sampling and Evaluation 1641:Some Theory of Sampling 1422:Sampling (case studies) 1407:Resampling (statistics) 1176:Recording non-responses 925:Line-intercept sampling 920:Line-intercept sampling 821:sub-groups, just as in 448:Simple random sampling 380:Nonprobability sampling 375:Nonprobability sampling 369:Nonprobability sampling 275:As a remedy, we seek a 231:electrical conductivity 5336:European Social Survey 5318:Asian Barometer Survey 5209:Descriptive statistics 5094:Cross-sequential study 5047:Simple random sampling 4888:Mathematics portal 4709:Engineering statistics 4617:Nelson–Aalen estimator 4194:Analysis of covariance 4081:Ordinary least squares 4005:Pearson product-moment 3409:Statistical functional 3320:Empirical distribution 3153:Controlled experiments 2882:Frequency distribution 2660:Descriptive statistics 2516: 2334:Quality & Quantity 2063:heal-info.blogspot.com 1627:University of Michigan 759: 743: 605: 505: 464: 455:Simple random sampling 400: 339:simple random sampling 327: 220:wheels at a casino in 164:Elections in Singapore 71:statistical population 42: 5496:Sampling (statistics) 5346:General Social Survey 5229:Statistical inference 5089:Cross-sectional study 4804:Population statistics 4746:System identification 4480:Autocorrelation (ACF) 4408:Exponential smoothing 4322:Discriminant analysis 4317:Canonical correlation 4181:Partition of variance 4043:Regression validation 3887:(Jonckheere–Terpstra) 3786:Likelihood-ratio test 3475:Frequentist inference 3387:Location–scale family 3308:Sampling distribution 3273:Statistical inference 3240:Cross-sectional study 3227:Observational studies 3186:Randomized experiment 3015:Stem-and-leaf display 2817:Central limit theorem 2592:Sampling (statistics) 1432:Sampling distribution 1224:Random sampling error 968:with lagged effects. 903:Further information: 757: 736: 603: 503: 462: 393: 302: 190:Population definition 152:presidential election 40: 5267:Audience measurement 5204:Level of measurement 5037:Sampling for surveys 4727:Probabilistic design 4312:Principal components 4155:Exponential families 4107:Nonlinear regression 4086:General linear model 4048:Mixed effects models 4038:Errors and residuals 4015:Confounding variable 3917:Bayesian probability 3895:Van der Waerden test 3885:Ordered alternative 3650:Multiple comparisons 3529:Rao–Blackwellization 3492:Estimating equations 3448:Statistical distance 3166:Factorial experiment 2699:Arithmetic-Geometric 2594:at Wikimedia Commons 2496:10.1287/opre.2.2.197 2347:Stuart, Alan (1962) 2300:, Elsevier Science, 2065:. Health Informatics 1460:cognitive psychology 1372:Gy's sampling theory 1043:Judgmental selection 983:Theoretical sampling 874:opportunity sampling 864:(sometimes known as 530:probability sampling 404:convenience sampling 308:uniform distribution 172:Elections Department 144:In the US, the 1936 123:confidence intervals 30:For other uses, see 5427:Pew Research Center 5396:World Values Survey 5139:Specification error 5057:Stratified sampling 4799:Official statistics 4722:Methods engineering 4403:Seasonal adjustment 4171:Poisson regressions 4091:Bayesian regression 4030:Regression analysis 4010:Partial correlation 3982:Regression analysis 3581:Prediction interval 3576:Likelihood interval 3566:Confidence interval 3558:Interval estimation 3519:Unbiased estimators 3337:Model specification 3217:Up-and-down designs 2905:Partial correlation 2861:Index of dispersion 2779:Interquartile range 2462:: One Hundred Years 1606:. Springer-Verlag. 1560:Sampling techniques 1556:Cochran, William G. 1387:Official statistics 1377:German tank problem 1316:Random number table 1100:without replacement 945:political campaigns 905:Self-selection bias 862:Accidental sampling 857:Accidental sampling 823:stratified sampling 793:multistage sampling 596:Stratified sampling 590:Stratified sampling 496:Systematic sampling 490:Systematic sampling 355:multistage sampling 347:stratified sampling 343:systematic sampling 290:telephone directory 176:confidence interval 99:Acceptance sampling 87:stratified sampling 5501:Survey methodology 5234:Statistical models 5134:Non-sampling error 5032:Statistical sample 4972:Collection methods 4819:Spatial statistics 4699:Medical statistics 4599:First hitting time 4553:Whittle likelihood 4204:Degrees of freedom 4199:Multivariate ANOVA 4132:Heteroscedasticity 3944:Bayesian estimator 3909:Bayesian inference 3758:Kolmogorov–Smirnov 3643:Randomization test 3613:Testing hypotheses 3586:Tolerance interval 3497:Maximum likelihood 3392:Exponential family 3325:Density estimation 3285:Statistical theory 3245:Natural experiment 3191:Scientific control 3108:Survey methodology 2794:Standard deviation 2287:Deming, W. Edwards 2195:Survey nonresponse 2173:Survey nonresponse 2097:Survey Methodology 1868:Survey methodology 1838:DollarsAndSense.sg 1647:Dover Publications 1635:Deming, W. Edwards 1600:SĂ€rndal, Carl-Erik 1487:statistical theory 1471:Survey methodology 1348:Mathematics portal 1237:Non-sampling error 1231:Non-sampling error 1073:. You can help by 1054:Haphazard sampling 1002:. You can help by 899:Voluntary sampling 819:mutually exclusive 760: 689:Poststratification 606: 506: 465: 412:purposive sampling 297:probability sample 286:electoral register 95:statistical theory 91:probability theory 63:statistical sample 55:survey methodology 43: 5506:Scientific method 5483: 5482: 5199:Contingency table 5174:Processing errors 5159:Non-response bias 5149:Measurement error 5129:Systematic errors 4921: 4920: 4859: 4858: 4855: 4854: 4794:National accounts 4764:Actuarial science 4756:Social statistics 4649: 4648: 4645: 4644: 4641: 4640: 4576:Survival function 4561: 4560: 4423:Granger causality 4264:Contingency table 4239:Survival analysis 4216: 4215: 4212: 4211: 4068:Linear regression 3963: 3962: 3959: 3958: 3934:Credible interval 3903: 3902: 3686: 3685: 3502:Method of moments 3371:Parametric family 3332:Statistical model 3262: 3261: 3258: 3257: 3176:Random assignment 3098:Statistical power 3032: 3031: 3028: 3027: 2877:Contingency table 2847: 2846: 2714:Generalized/power 2590:Media related to 2471:978-0-19-850993-6 2252:978-0-471-16240-7 2095:Groves, et alia. 1656:978-0-486-64684-8 1613:978-0-387-40620-6 1591:978-0-534-35361-2 1569:978-0-471-16240-7 1530:978-0-393-92972-0 1367:Estimation theory 1126:Sample complexity 1091: 1090: 1020: 1019: 977:Snowball sampling 972:Snowball sampling 892:snowball sampling 611:sampling fraction 184:returning officer 131:prior probability 51:quality assurance 16:(Redirected from 5513: 5194:Categorical data 4948: 4941: 4934: 4925: 4924: 4909: 4908: 4897: 4896: 4886: 4885: 4871: 4870: 4774:Crime statistics 4668: 4667: 4655: 4654: 4572: 4571: 4538:Fourier analysis 4525:Frequency domain 4505: 4452: 4418:Structural break 4378: 4377: 4327:Cluster analysis 4274:Log-linear model 4247: 4246: 4222: 4221: 4163: 4137:Homoscedasticity 3993: 3992: 3969: 3968: 3888: 3880: 3872: 3871:(Kruskal–Wallis) 3856: 3841: 3796:Cross validation 3781: 3763:Anderson–Darling 3710: 3697: 3696: 3668:Likelihood-ratio 3660:Parametric tests 3638:Permutation test 3621:1- & 2-tails 3512:Minimum distance 3484:Point estimation 3480: 3479: 3431:Optimal decision 3382: 3281: 3280: 3268: 3267: 3250:Quasi-experiment 3200:Adaptive designs 3051: 3050: 3038: 3037: 2915:Rank correlation 2677: 2676: 2668: 2667: 2655: 2654: 2622: 2615: 2608: 2599: 2598: 2589: 2507: 2475: 2446: 2419: 2385: 2257: 2256: 2238: 2232: 2231: 2229: 2227: 2204: 2198: 2191: 2185: 2182: 2176: 2168: 2159: 2152: 2146: 2145: 2131: 2125: 2122: 2116: 2115: 2113: 2105: 2099: 2093: 2084: 2081: 2075: 2074: 2072: 2070: 2054: 2048: 2045: 2036: 2031:Lohr, Sharon L. 2026: 2017: 2016: 1986: 1980: 1979: 1969: 1945: 1934: 1933: 1931: 1921: 1915: 1914: 1906: 1900: 1899: 1889: 1883: 1882: 1862: 1849: 1848: 1846: 1844: 1829: 1823: 1822: 1820: 1818: 1813: 1805: 1799: 1798: 1785: 1779: 1772: 1766: 1765: 1730: 1724: 1717: 1711: 1710: 1700: 1668: 1644: 1617: 1595: 1573: 1534: 1473:(2010 2nd ed. ) 1350: 1345: 1344: 1288:opportunity cost 1104:with replacement 1086: 1083: 1065: 1058: 1015: 1012: 994: 987: 842:minimax sampling 836:Minimax sampling 789:Cluster sampling 764:Cluster sampling 750:Cluster sampling 728:Poisson sampling 449: 422:Sampling methods 21: 5521: 5520: 5516: 5515: 5514: 5512: 5511: 5510: 5486: 5485: 5484: 5479: 5436: 5400: 5361:LatinobarĂłmetro 5291: 5277:Market research 5255: 5180: 5154:Response errors 5100: 5074:Research design 5042:Random sampling 5008: 4992:Semi-structured 4964:Data collection 4958: 4956:survey research 4952: 4922: 4917: 4880: 4851: 4813: 4750: 4736:quality control 4703: 4685:Clinical trials 4662: 4637: 4621: 4609:Hazard function 4603: 4557: 4519: 4503: 4466: 4462:Breusch–Godfrey 4450: 4427: 4367: 4342:Factor analysis 4288: 4269:Graphical model 4241: 4208: 4175: 4161: 4141: 4095: 4062: 4024: 3987: 3986: 3955: 3899: 3886: 3878: 3870: 3854: 3839: 3818:Rank statistics 3812: 3791:Model selection 3779: 3737:Goodness of fit 3731: 3708: 3682: 3654: 3607: 3552: 3541:Median unbiased 3469: 3380: 3313:Order statistic 3275: 3254: 3221: 3195: 3147: 3102: 3045: 3043:Data collection 3024: 2936: 2891: 2865: 2843: 2803: 2755: 2672:Continuous data 2662: 2649: 2631: 2626: 2582: 2567: 2557: 2532: 2525:ISO 3951 series 2522:ISO 2859 series 2519: 2514: 2472: 2451:Smith, T. M. F. 2425:Smith, T. M. F. 2408:10.2307/2982726 2390:Smith, T. M. F. 2374:10.2307/2981677 2356:Smith, T. M. F. 2266: 2264:Further reading 2261: 2260: 2253: 2239: 2235: 2225: 2223: 2221: 2205: 2201: 2192: 2188: 2183: 2179: 2169: 2162: 2153: 2149: 2132: 2128: 2123: 2119: 2111: 2107: 2106: 2102: 2094: 2087: 2082: 2078: 2068: 2066: 2055: 2051: 2027: 2020: 1987: 1983: 1946: 1937: 1922: 1918: 1907: 1903: 1893:Lohr, Sharon L. 1890: 1886: 1879: 1863: 1852: 1842: 1840: 1830: 1826: 1816: 1814: 1811: 1807: 1806: 1802: 1789:Freedman, David 1786: 1782: 1773: 1769: 1754:10.2307/2981944 1731: 1727: 1718: 1714: 1701: 1697: 1692: 1676:Survey Sampling 1657: 1614: 1592: 1578:Lohr, Sharon L. 1570: 1531: 1513:Freedman, David 1456: 1451: 1447:Survey sampling 1392:Ratio estimator 1357:Data collection 1346: 1339: 1336: 1312: 1296: 1284:survey sampling 1239: 1233: 1211: 1202: 1196: 1183: 1161: 1128: 1122: 1116: 1108:tag and release 1096: 1087: 1081: 1078: 1071:needs expansion 1056: 1051: 1049:Judgment sample 1045: 1033:active sampling 1029: 1027:Active sampling 1016: 1010: 1007: 1000:needs expansion 985: 974: 941:Paul Lazarsfeld 933: 922: 907: 901: 859: 838: 811: 805: 766: 752: 719: 713: 598: 592: 498: 492: 457: 451: 424: 377: 371: 269: 263: 192: 180:margin of error 147:Literary Digest 139:Imperial Russia 129:with a uniform 119:ratio estimator 111: 89:. Results from 83:survey sampling 35: 28: 23: 22: 18:Random sampling 15: 12: 11: 5: 5519: 5509: 5508: 5503: 5498: 5481: 5480: 5478: 5477: 5476: 5475: 5470: 5465: 5460: 5455: 5447: 5441: 5438: 5437: 5435: 5434: 5429: 5424: 5419: 5414: 5408: 5406: 5402: 5401: 5399: 5398: 5393: 5388: 5383: 5378: 5373: 5368: 5363: 5358: 5353: 5348: 5343: 5338: 5333: 5328: 5325: 5320: 5315: 5310: 5305: 5299: 5297: 5293: 5292: 5290: 5289: 5287:Public opinion 5284: 5279: 5274: 5269: 5263: 5261: 5257: 5256: 5254: 5253: 5252: 5251: 5246: 5241: 5231: 5226: 5221: 5216: 5211: 5206: 5201: 5196: 5190: 5188: 5182: 5181: 5179: 5178: 5177: 5176: 5171: 5169:Pseudo-opinion 5166: 5164:Coverage error 5161: 5156: 5151: 5146: 5141: 5131: 5126: 5121: 5119:Standard error 5116: 5114:Sampling error 5110: 5108: 5102: 5101: 5099: 5098: 5097: 5096: 5091: 5086: 5081: 5071: 5070: 5069: 5064: 5059: 5054: 5052:Quota sampling 5049: 5044: 5034: 5029: 5027:Sampling frame 5024: 5018: 5016: 5010: 5009: 5007: 5006: 5005: 5004: 4999: 4994: 4989: 4979: 4974: 4968: 4966: 4960: 4959: 4951: 4950: 4943: 4936: 4928: 4919: 4918: 4916: 4915: 4903: 4891: 4877: 4864: 4861: 4860: 4857: 4856: 4853: 4852: 4850: 4849: 4844: 4839: 4834: 4829: 4823: 4821: 4815: 4814: 4812: 4811: 4806: 4801: 4796: 4791: 4786: 4781: 4776: 4771: 4766: 4760: 4758: 4752: 4751: 4749: 4748: 4743: 4738: 4729: 4724: 4719: 4713: 4711: 4705: 4704: 4702: 4701: 4696: 4691: 4682: 4680:Bioinformatics 4676: 4674: 4664: 4663: 4651: 4650: 4647: 4646: 4643: 4642: 4639: 4638: 4636: 4635: 4629: 4627: 4623: 4622: 4620: 4619: 4613: 4611: 4605: 4604: 4602: 4601: 4596: 4591: 4586: 4580: 4578: 4569: 4563: 4562: 4559: 4558: 4556: 4555: 4550: 4545: 4540: 4535: 4529: 4527: 4521: 4520: 4518: 4517: 4512: 4507: 4499: 4494: 4489: 4488: 4487: 4485:partial (PACF) 4476: 4474: 4468: 4467: 4465: 4464: 4459: 4454: 4446: 4441: 4435: 4433: 4432:Specific tests 4429: 4428: 4426: 4425: 4420: 4415: 4410: 4405: 4400: 4395: 4390: 4384: 4382: 4375: 4369: 4368: 4366: 4365: 4364: 4363: 4362: 4361: 4346: 4345: 4344: 4334: 4332:Classification 4329: 4324: 4319: 4314: 4309: 4304: 4298: 4296: 4290: 4289: 4287: 4286: 4281: 4279:McNemar's test 4276: 4271: 4266: 4261: 4255: 4253: 4243: 4242: 4218: 4217: 4214: 4213: 4210: 4209: 4207: 4206: 4201: 4196: 4191: 4185: 4183: 4177: 4176: 4174: 4173: 4157: 4151: 4149: 4143: 4142: 4140: 4139: 4134: 4129: 4124: 4119: 4117:Semiparametric 4114: 4109: 4103: 4101: 4097: 4096: 4094: 4093: 4088: 4083: 4078: 4072: 4070: 4064: 4063: 4061: 4060: 4055: 4050: 4045: 4040: 4034: 4032: 4026: 4025: 4023: 4022: 4017: 4012: 4007: 4001: 3999: 3989: 3988: 3985: 3984: 3979: 3973: 3965: 3964: 3961: 3960: 3957: 3956: 3954: 3953: 3952: 3951: 3941: 3936: 3931: 3930: 3929: 3924: 3913: 3911: 3905: 3904: 3901: 3900: 3898: 3897: 3892: 3891: 3890: 3882: 3874: 3858: 3855:(Mann–Whitney) 3850: 3849: 3848: 3835: 3834: 3833: 3822: 3820: 3814: 3813: 3811: 3810: 3809: 3808: 3803: 3798: 3788: 3783: 3780:(Shapiro–Wilk) 3775: 3770: 3765: 3760: 3755: 3747: 3741: 3739: 3733: 3732: 3730: 3729: 3721: 3712: 3700: 3694: 3692:Specific tests 3688: 3687: 3684: 3683: 3681: 3680: 3675: 3670: 3664: 3662: 3656: 3655: 3653: 3652: 3647: 3646: 3645: 3635: 3634: 3633: 3623: 3617: 3615: 3609: 3608: 3606: 3605: 3604: 3603: 3598: 3588: 3583: 3578: 3573: 3568: 3562: 3560: 3554: 3553: 3551: 3550: 3545: 3544: 3543: 3538: 3537: 3536: 3531: 3516: 3515: 3514: 3509: 3504: 3499: 3488: 3486: 3477: 3471: 3470: 3468: 3467: 3462: 3457: 3456: 3455: 3445: 3440: 3439: 3438: 3428: 3427: 3426: 3421: 3416: 3406: 3401: 3396: 3395: 3394: 3389: 3384: 3368: 3367: 3366: 3361: 3356: 3346: 3345: 3344: 3339: 3329: 3328: 3327: 3317: 3316: 3315: 3305: 3300: 3295: 3289: 3287: 3277: 3276: 3264: 3263: 3260: 3259: 3256: 3255: 3253: 3252: 3247: 3242: 3237: 3231: 3229: 3223: 3222: 3220: 3219: 3214: 3209: 3203: 3201: 3197: 3196: 3194: 3193: 3188: 3183: 3178: 3173: 3168: 3163: 3157: 3155: 3149: 3148: 3146: 3145: 3143:Standard error 3140: 3135: 3130: 3129: 3128: 3123: 3112: 3110: 3104: 3103: 3101: 3100: 3095: 3090: 3085: 3080: 3075: 3073:Optimal design 3070: 3065: 3059: 3057: 3047: 3046: 3034: 3033: 3030: 3029: 3026: 3025: 3023: 3022: 3017: 3012: 3007: 3002: 2997: 2992: 2987: 2982: 2977: 2972: 2967: 2962: 2957: 2952: 2946: 2944: 2938: 2937: 2935: 2934: 2929: 2928: 2927: 2922: 2912: 2907: 2901: 2899: 2893: 2892: 2890: 2889: 2884: 2879: 2873: 2871: 2870:Summary tables 2867: 2866: 2864: 2863: 2857: 2855: 2849: 2848: 2845: 2844: 2842: 2841: 2840: 2839: 2834: 2829: 2819: 2813: 2811: 2805: 2804: 2802: 2801: 2796: 2791: 2786: 2781: 2776: 2771: 2765: 2763: 2757: 2756: 2754: 2753: 2748: 2743: 2742: 2741: 2736: 2731: 2726: 2721: 2716: 2711: 2706: 2704:Contraharmonic 2701: 2696: 2685: 2683: 2674: 2664: 2663: 2651: 2650: 2648: 2647: 2642: 2636: 2633: 2632: 2625: 2624: 2617: 2610: 2602: 2596: 2595: 2581: 2580:External links 2578: 2577: 2576: 2573: 2566: 2563: 2562: 2561: 2556: 2553: 2552: 2551: 2548: 2545: 2542: 2539: 2536: 2531: 2528: 2527: 2526: 2523: 2518: 2515: 2513: 2510: 2509: 2508: 2490:(2): 197–203. 2476: 2470: 2447: 2437:(1): 167–243. 2421: 2402:(2): 144–166. 2386: 2352: 2345: 2322: 2308: 2306:978-0444556066 2294: 2284: 2270: 2265: 2262: 2259: 2258: 2251: 2233: 2219: 2199: 2186: 2177: 2160: 2147: 2126: 2117: 2100: 2085: 2076: 2049: 2047: 2046: 2037: 2018: 1999:(2): 170–182. 1981: 1960:(2): 242–250. 1954:Bioinformatics 1935: 1916: 1901: 1884: 1878:978-0470465462 1877: 1850: 1824: 1800: 1780: 1767: 1748:(2): 118–125. 1725: 1712: 1694: 1693: 1691: 1688: 1687: 1686: 1669: 1655: 1619: 1618: 1612: 1596: 1590: 1574: 1568: 1548: 1547: 1536: 1535: 1529: 1509: 1494:David S. Moore 1483: 1482: 1455: 1452: 1450: 1449: 1444: 1439: 1437:Sampling error 1434: 1429: 1424: 1419: 1414: 1409: 1404: 1399: 1394: 1389: 1384: 1379: 1374: 1369: 1364: 1359: 1353: 1352: 1351: 1335: 1332: 1331: 1330: 1324: 1318: 1311: 1308: 1295: 1294:Survey weights 1292: 1280: 1279: 1276: 1262: 1261: 1255: 1252: 1249: 1246: 1235:Main article: 1232: 1229: 1228: 1227: 1221: 1218:Selection bias 1210: 1207: 1200:Sampling error 1198:Main article: 1195: 1192: 1182: 1179: 1178: 1177: 1174: 1171: 1168: 1160: 1157: 1156: 1155: 1154: 1153: 1150: 1147: 1144: 1138: 1118:Main article: 1115: 1112: 1095: 1092: 1089: 1088: 1068: 1066: 1055: 1052: 1047:Main article: 1044: 1041: 1028: 1025: 1018: 1017: 997: 995: 984: 981: 973: 970: 936:Panel sampling 932: 931:Panel sampling 929: 921: 918: 900: 897: 888: 887: 884: 881: 858: 855: 837: 834: 815:quota sampling 809:Quota sampling 807:Main article: 804: 803:Quota sampling 801: 778:sampling frame 762:Main article: 751: 748: 715:Main article: 712: 709: 700: 699: 691: 690: 686: 685: 682: 679: 675: 674: 670: 669: 666: 663: 660: 656: 655: 651: 650: 647: 644: 640: 639: 637: 594:Main article: 591: 588: 534:stratification 494:Main article: 491: 488: 453:Main article: 450: 445: 444: 443: 440: 437: 434: 431: 423: 420: 408:quota sampling 389:exclusion bias 373:Main article: 370: 367: 366: 365: 362: 277:sampling frame 267:Sampling frame 265:Main article: 262: 261:Sampling frame 259: 191: 188: 141:in the 1870s. 127:Bayes' theorem 110: 107: 103:specifications 26: 9: 6: 4: 3: 2: 5518: 5507: 5504: 5502: 5499: 5497: 5494: 5493: 5491: 5474: 5471: 5469: 5466: 5464: 5461: 5459: 5456: 5454: 5451: 5450: 5448: 5446: 5443: 5442: 5439: 5433: 5430: 5428: 5425: 5423: 5420: 5418: 5415: 5413: 5410: 5409: 5407: 5403: 5397: 5394: 5392: 5389: 5387: 5384: 5382: 5379: 5377: 5374: 5372: 5369: 5367: 5364: 5362: 5359: 5357: 5354: 5352: 5349: 5347: 5344: 5342: 5339: 5337: 5334: 5332: 5331:Eurobarometer 5329: 5326: 5324: 5321: 5319: 5316: 5314: 5311: 5309: 5308:Afrobarometer 5306: 5304: 5301: 5300: 5298: 5296:Major surveys 5294: 5288: 5285: 5283: 5280: 5278: 5275: 5273: 5270: 5268: 5265: 5264: 5262: 5258: 5250: 5247: 5245: 5242: 5240: 5237: 5236: 5235: 5232: 5230: 5227: 5225: 5224:Psychometrics 5222: 5220: 5217: 5215: 5212: 5210: 5207: 5205: 5202: 5200: 5197: 5195: 5192: 5191: 5189: 5187: 5186:Data analysis 5183: 5175: 5172: 5170: 5167: 5165: 5162: 5160: 5157: 5155: 5152: 5150: 5147: 5145: 5142: 5140: 5137: 5136: 5135: 5132: 5130: 5127: 5125: 5124:Sampling bias 5122: 5120: 5117: 5115: 5112: 5111: 5109: 5107: 5106:Survey errors 5103: 5095: 5092: 5090: 5087: 5085: 5082: 5080: 5077: 5076: 5075: 5072: 5068: 5065: 5063: 5060: 5058: 5055: 5053: 5050: 5048: 5045: 5043: 5040: 5039: 5038: 5035: 5033: 5030: 5028: 5025: 5023: 5020: 5019: 5017: 5015: 5011: 5003: 5000: 4998: 4995: 4993: 4990: 4988: 4985: 4984: 4983: 4980: 4978: 4977:Questionnaire 4975: 4973: 4970: 4969: 4967: 4965: 4961: 4957: 4949: 4944: 4942: 4937: 4935: 4930: 4929: 4926: 4914: 4913: 4904: 4902: 4901: 4892: 4890: 4889: 4884: 4878: 4876: 4875: 4866: 4865: 4862: 4848: 4845: 4843: 4842:Geostatistics 4840: 4838: 4835: 4833: 4830: 4828: 4825: 4824: 4822: 4820: 4816: 4810: 4809:Psychometrics 4807: 4805: 4802: 4800: 4797: 4795: 4792: 4790: 4787: 4785: 4782: 4780: 4777: 4775: 4772: 4770: 4767: 4765: 4762: 4761: 4759: 4757: 4753: 4747: 4744: 4742: 4739: 4737: 4733: 4730: 4728: 4725: 4723: 4720: 4718: 4715: 4714: 4712: 4710: 4706: 4700: 4697: 4695: 4692: 4690: 4686: 4683: 4681: 4678: 4677: 4675: 4673: 4672:Biostatistics 4669: 4665: 4661: 4656: 4652: 4634: 4633:Log-rank test 4631: 4630: 4628: 4624: 4618: 4615: 4614: 4612: 4610: 4606: 4600: 4597: 4595: 4592: 4590: 4587: 4585: 4582: 4581: 4579: 4577: 4573: 4570: 4568: 4564: 4554: 4551: 4549: 4546: 4544: 4541: 4539: 4536: 4534: 4531: 4530: 4528: 4526: 4522: 4516: 4513: 4511: 4508: 4506: 4504:(Box–Jenkins) 4500: 4498: 4495: 4493: 4490: 4486: 4483: 4482: 4481: 4478: 4477: 4475: 4473: 4469: 4463: 4460: 4458: 4457:Durbin–Watson 4455: 4453: 4447: 4445: 4442: 4440: 4439:Dickey–Fuller 4437: 4436: 4434: 4430: 4424: 4421: 4419: 4416: 4414: 4413:Cointegration 4411: 4409: 4406: 4404: 4401: 4399: 4396: 4394: 4391: 4389: 4388:Decomposition 4386: 4385: 4383: 4379: 4376: 4374: 4370: 4360: 4357: 4356: 4355: 4352: 4351: 4350: 4347: 4343: 4340: 4339: 4338: 4335: 4333: 4330: 4328: 4325: 4323: 4320: 4318: 4315: 4313: 4310: 4308: 4305: 4303: 4300: 4299: 4297: 4295: 4291: 4285: 4282: 4280: 4277: 4275: 4272: 4270: 4267: 4265: 4262: 4260: 4259:Cohen's kappa 4257: 4256: 4254: 4252: 4248: 4244: 4240: 4236: 4232: 4228: 4223: 4219: 4205: 4202: 4200: 4197: 4195: 4192: 4190: 4187: 4186: 4184: 4182: 4178: 4172: 4168: 4164: 4158: 4156: 4153: 4152: 4150: 4148: 4144: 4138: 4135: 4133: 4130: 4128: 4125: 4123: 4120: 4118: 4115: 4113: 4112:Nonparametric 4110: 4108: 4105: 4104: 4102: 4098: 4092: 4089: 4087: 4084: 4082: 4079: 4077: 4074: 4073: 4071: 4069: 4065: 4059: 4056: 4054: 4051: 4049: 4046: 4044: 4041: 4039: 4036: 4035: 4033: 4031: 4027: 4021: 4018: 4016: 4013: 4011: 4008: 4006: 4003: 4002: 4000: 3998: 3994: 3990: 3983: 3980: 3978: 3975: 3974: 3970: 3966: 3950: 3947: 3946: 3945: 3942: 3940: 3937: 3935: 3932: 3928: 3925: 3923: 3920: 3919: 3918: 3915: 3914: 3912: 3910: 3906: 3896: 3893: 3889: 3883: 3881: 3875: 3873: 3867: 3866: 3865: 3862: 3861:Nonparametric 3859: 3857: 3851: 3847: 3844: 3843: 3842: 3836: 3832: 3831:Sample median 3829: 3828: 3827: 3824: 3823: 3821: 3819: 3815: 3807: 3804: 3802: 3799: 3797: 3794: 3793: 3792: 3789: 3787: 3784: 3782: 3776: 3774: 3771: 3769: 3766: 3764: 3761: 3759: 3756: 3754: 3752: 3748: 3746: 3743: 3742: 3740: 3738: 3734: 3728: 3726: 3722: 3720: 3718: 3713: 3711: 3706: 3702: 3701: 3698: 3695: 3693: 3689: 3679: 3676: 3674: 3671: 3669: 3666: 3665: 3663: 3661: 3657: 3651: 3648: 3644: 3641: 3640: 3639: 3636: 3632: 3629: 3628: 3627: 3624: 3622: 3619: 3618: 3616: 3614: 3610: 3602: 3599: 3597: 3594: 3593: 3592: 3589: 3587: 3584: 3582: 3579: 3577: 3574: 3572: 3569: 3567: 3564: 3563: 3561: 3559: 3555: 3549: 3546: 3542: 3539: 3535: 3532: 3530: 3527: 3526: 3525: 3522: 3521: 3520: 3517: 3513: 3510: 3508: 3505: 3503: 3500: 3498: 3495: 3494: 3493: 3490: 3489: 3487: 3485: 3481: 3478: 3476: 3472: 3466: 3463: 3461: 3458: 3454: 3451: 3450: 3449: 3446: 3444: 3441: 3437: 3436:loss function 3434: 3433: 3432: 3429: 3425: 3422: 3420: 3417: 3415: 3412: 3411: 3410: 3407: 3405: 3402: 3400: 3397: 3393: 3390: 3388: 3385: 3383: 3377: 3374: 3373: 3372: 3369: 3365: 3362: 3360: 3357: 3355: 3352: 3351: 3350: 3347: 3343: 3340: 3338: 3335: 3334: 3333: 3330: 3326: 3323: 3322: 3321: 3318: 3314: 3311: 3310: 3309: 3306: 3304: 3301: 3299: 3296: 3294: 3291: 3290: 3288: 3286: 3282: 3278: 3274: 3269: 3265: 3251: 3248: 3246: 3243: 3241: 3238: 3236: 3233: 3232: 3230: 3228: 3224: 3218: 3215: 3213: 3210: 3208: 3205: 3204: 3202: 3198: 3192: 3189: 3187: 3184: 3182: 3179: 3177: 3174: 3172: 3169: 3167: 3164: 3162: 3159: 3158: 3156: 3154: 3150: 3144: 3141: 3139: 3138:Questionnaire 3136: 3134: 3131: 3127: 3124: 3122: 3119: 3118: 3117: 3114: 3113: 3111: 3109: 3105: 3099: 3096: 3094: 3091: 3089: 3086: 3084: 3081: 3079: 3076: 3074: 3071: 3069: 3066: 3064: 3061: 3060: 3058: 3056: 3052: 3048: 3044: 3039: 3035: 3021: 3018: 3016: 3013: 3011: 3008: 3006: 3003: 3001: 2998: 2996: 2993: 2991: 2988: 2986: 2983: 2981: 2978: 2976: 2973: 2971: 2968: 2966: 2965:Control chart 2963: 2961: 2958: 2956: 2953: 2951: 2948: 2947: 2945: 2943: 2939: 2933: 2930: 2926: 2923: 2921: 2918: 2917: 2916: 2913: 2911: 2908: 2906: 2903: 2902: 2900: 2898: 2894: 2888: 2885: 2883: 2880: 2878: 2875: 2874: 2872: 2868: 2862: 2859: 2858: 2856: 2854: 2850: 2838: 2835: 2833: 2830: 2828: 2825: 2824: 2823: 2820: 2818: 2815: 2814: 2812: 2810: 2806: 2800: 2797: 2795: 2792: 2790: 2787: 2785: 2782: 2780: 2777: 2775: 2772: 2770: 2767: 2766: 2764: 2762: 2758: 2752: 2749: 2747: 2744: 2740: 2737: 2735: 2732: 2730: 2727: 2725: 2722: 2720: 2717: 2715: 2712: 2710: 2707: 2705: 2702: 2700: 2697: 2695: 2692: 2691: 2690: 2687: 2686: 2684: 2682: 2678: 2675: 2673: 2669: 2665: 2661: 2656: 2652: 2646: 2643: 2641: 2638: 2637: 2634: 2630: 2623: 2618: 2616: 2611: 2609: 2604: 2603: 2600: 2593: 2588: 2584: 2583: 2574: 2572: 2569: 2568: 2560:ANSI/ASQ Z1.4 2559: 2558: 2549: 2546: 2543: 2540: 2537: 2534: 2533: 2524: 2521: 2520: 2505: 2501: 2497: 2493: 2489: 2485: 2481: 2477: 2473: 2467: 2463: 2459: 2456: 2452: 2448: 2444: 2440: 2436: 2432: 2431: 2426: 2422: 2417: 2413: 2409: 2405: 2401: 2397: 2396: 2391: 2387: 2383: 2379: 2375: 2371: 2367: 2363: 2362: 2357: 2353: 2350: 2346: 2343: 2339: 2335: 2331: 2327: 2323: 2321: 2320:0-471-13773-1 2317: 2313: 2309: 2307: 2303: 2299: 2296:Gy, P (2012) 2295: 2292: 2288: 2285: 2283: 2282:0-471-89987-9 2279: 2275: 2271: 2268: 2267: 2254: 2248: 2244: 2237: 2222: 2220:9780787974770 2216: 2212: 2211: 2203: 2196: 2190: 2181: 2174: 2167: 2165: 2157: 2151: 2143: 2142: 2137: 2130: 2121: 2110: 2104: 2098: 2092: 2090: 2080: 2064: 2060: 2053: 2043: 2038: 2034: 2029: 2028: 2025: 2023: 2014: 2010: 2006: 2002: 1998: 1994: 1993: 1985: 1977: 1973: 1968: 1963: 1959: 1955: 1951: 1944: 1942: 1940: 1930: 1929: 1920: 1912: 1905: 1897: 1894: 1888: 1880: 1874: 1870: 1867: 1861: 1859: 1857: 1855: 1839: 1835: 1828: 1810: 1804: 1796: 1795: 1790: 1784: 1777: 1771: 1763: 1759: 1755: 1751: 1747: 1743: 1739: 1735: 1729: 1722: 1716: 1708: 1707: 1699: 1695: 1685: 1684:0-471-10949-5 1681: 1677: 1673: 1670: 1666: 1662: 1658: 1652: 1648: 1643: 1642: 1636: 1632: 1631: 1630: 1628: 1624: 1615: 1609: 1605: 1601: 1597: 1593: 1587: 1583: 1579: 1575: 1571: 1565: 1561: 1557: 1553: 1552: 1551: 1545: 1541: 1540: 1539: 1532: 1526: 1522: 1518: 1514: 1510: 1507: 1506:0-7167-6282-X 1503: 1499: 1495: 1492: 1491: 1490: 1488: 1480: 1479:0-471-48348-6 1476: 1472: 1468: 1467:Robert Groves 1465: 1464: 1463: 1461: 1448: 1445: 1443: 1440: 1438: 1435: 1433: 1430: 1428: 1427:Sampling bias 1425: 1423: 1420: 1418: 1415: 1413: 1410: 1408: 1405: 1403: 1400: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1362:Design effect 1360: 1358: 1355: 1354: 1349: 1343: 1338: 1329: 1325: 1323: 1319: 1317: 1314: 1313: 1307: 1304: 1300: 1291: 1289: 1285: 1277: 1274: 1273: 1272: 1270: 1265: 1259: 1256: 1253: 1250: 1247: 1244: 1243: 1242: 1238: 1225: 1222: 1219: 1216: 1215: 1214: 1206: 1201: 1191: 1187: 1175: 1172: 1169: 1166: 1165: 1164: 1151: 1148: 1145: 1142: 1141: 1139: 1136: 1135: 1134: 1131: 1127: 1121: 1111: 1109: 1105: 1101: 1085: 1076: 1072: 1069:This section 1067: 1064: 1060: 1059: 1050: 1040: 1038: 1034: 1024: 1014: 1005: 1001: 998:This section 996: 993: 989: 988: 980: 978: 969: 967: 963: 962:growth curves 959: 955: 950: 946: 942: 937: 928: 926: 917: 914: 910: 906: 896: 893: 885: 882: 879: 878: 877: 875: 871: 867: 863: 854: 851: 847: 843: 833: 831: 826: 824: 820: 816: 810: 800: 796: 794: 790: 786: 782: 779: 774: 770: 765: 756: 747: 742: 741: 735: 731: 729: 723: 718: 708: 706: 705:biased sample 697: 696: 695: 688: 687: 683: 680: 677: 676: 673:Disadvantages 672: 671: 667: 664: 661: 658: 657: 653: 652: 648: 645: 642: 641: 638: 635: 634: 633: 629: 625: 621: 617: 614: 612: 602: 597: 587: 584: 582: 577: 574: 569: 567: 563: 557: 555: 549: 545: 543: 539: 535: 531: 527: 522: 520: 516: 512: 502: 497: 487: 483: 480: 474: 471: 461: 456: 441: 438: 435: 432: 429: 428: 427: 419: 417: 413: 409: 405: 399: 398: 392: 390: 385: 381: 376: 363: 360: 359: 358: 356: 352: 348: 344: 340: 335: 332: 326: 325: 321: 317: 312: 311: 309: 301: 298: 293: 291: 287: 283: 278: 273: 268: 258: 254: 250: 247: 244:of which the 243: 238: 236: 232: 227: 223: 219: 215: 214:Joseph Jagger 210: 206: 204: 199: 197: 187: 185: 181: 177: 173: 169: 168:2015 election 165: 161: 159: 157: 153: 149: 148: 142: 140: 136: 132: 128: 124: 120: 116: 106: 104: 100: 96: 92: 88: 84: 80: 75: 72: 68: 64: 60: 56: 52: 48: 39: 33: 19: 5405:Associations 5282:Opinion poll 5260:Applications 5084:Cohort study 5041: 4997:Unstructured 4910: 4898: 4879: 4872: 4784:Econometrics 4734: / 4717:Chemometrics 4694:Epidemiology 4687: / 4660:Applications 4502:ARIMA model 4449:Q-statistic 4398:Stationarity 4294:Multivariate 4237: / 4233: / 4231:Multivariate 4229: / 4169: / 4165: / 3939:Bayes factor 3838:Signed rank 3750: 3724: 3716: 3704: 3399:Completeness 3235:Cohort study 3133:Opinion poll 3115: 3068:Missing data 3055:Study design 3010:Scatter plot 2932:Scatter plot 2925:Spearman's ρ 2887:Grouped data 2575:MIL-STD-1916 2487: 2483: 2461: 2458: 2434: 2428: 2399: 2393: 2365: 2359: 2348: 2333: 2311: 2297: 2290: 2273: 2242: 2236: 2224:. Retrieved 2209: 2202: 2194: 2189: 2180: 2172: 2155: 2150: 2139: 2135: 2129: 2120: 2103: 2096: 2079: 2067:. Retrieved 2062: 2052: 2041: 2032: 1996: 1990: 1984: 1957: 1953: 1927: 1919: 1910: 1904: 1895: 1887: 1869: 1866: 1841:. Retrieved 1837: 1827: 1815:. Retrieved 1803: 1793: 1783: 1775: 1770: 1745: 1741: 1728: 1720: 1715: 1705: 1698: 1675: 1672:Kish, Leslie 1640: 1620: 1603: 1581: 1559: 1549: 1543: 1537: 1516: 1497: 1484: 1470: 1457: 1305: 1301: 1297: 1281: 1269:non-response 1268: 1266: 1263: 1240: 1212: 1203: 1188: 1184: 1162: 1132: 1129: 1103: 1099: 1097: 1079: 1075:adding to it 1070: 1030: 1021: 1008: 1004:adding to it 999: 975: 956:, including 949:longitudinal 935: 934: 923: 915: 911: 908: 889: 873: 869: 865: 860: 839: 827: 814: 812: 797: 787: 783: 775: 771: 767: 744: 738: 737: 732: 724: 720: 701: 698:Oversampling 692: 630: 626: 622: 618: 615: 607: 585: 580: 578: 572: 570: 565: 561: 558: 553: 550: 546: 537: 523: 518: 514: 510: 507: 484: 478: 475: 469: 466: 425: 415: 401: 395: 394: 383: 379: 378: 336: 330: 328: 323: 319: 314: 313: 304: 303: 296: 294: 282:opinion poll 274: 270: 255: 251: 245: 242:cause system 239: 211: 207: 200: 193: 162: 145: 143: 112: 76: 66: 62: 58: 44: 5341:Gallup Poll 5144:Frame error 5079:Panel study 5014:Methodology 4912:WikiProject 4827:Cartography 4789:Jurimetrics 4741:Reliability 4472:Time domain 4451:(Ljung–Box) 4373:Time-series 4251:Categorical 4235:Time-series 4227:Categorical 4162:(Bernoulli) 3997:Correlation 3977:Correlation 3773:Jarque–Bera 3745:Chi-squared 3507:M-estimator 3460:Asymptotics 3404:Sufficiency 3171:Interaction 3083:Replication 3063:Effect size 3020:Violin plot 3000:Radar chart 2980:Forest plot 2970:Correlogram 2920:Kendall's τ 2571:MIL-STD-105 2480:Whittle, P. 2124:Cohen, 1988 2069:18 December 1843:3 September 1817:3 September 1584:. Duxbury. 1469:, et alia. 870:convenience 222:Monte Carlo 79:observation 5490:Categories 5473:Statistics 5463:Psychology 5272:Demography 5249:Structural 5244:Log-linear 4987:Structured 4779:Demography 4497:ARMA model 4302:Regression 3879:(Friedman) 3840:(Wilcoxon) 3778:Normality 3768:Lilliefors 3715:Student's 3591:Resampling 3465:Robustness 3453:divergence 3443:Efficiency 3381:(monotone) 3376:Likelihood 3293:Population 3126:Stratified 3078:Population 2897:Dependence 2853:Count data 2784:Percentile 2761:Dispersion 2694:Arithmetic 2629:Statistics 2460:Biometrika 2430:Biometrika 1794:Statistics 1734:Seneta, E. 1690:References 1517:Statistics 1124:See also: 954:panel data 526:randomized 479:on average 324:selected.) 203:production 196:population 47:statistics 5468:Sociology 5449:Projects 5239:Graphical 4982:Interview 4160:Logistic 3927:posterior 3853:Rank sum 3601:Jackknife 3596:Bootstrap 3414:Bootstrap 3349:Parameter 3298:Statistic 3093:Statistic 3005:Run chart 2990:Pie chart 2985:Histogram 2975:Fan chart 2950:Bar chart 2832:L-moments 2719:Geometric 2555:ANSI, ASQ 2512:Standards 2455:D. R. Cox 2314:, Wiley, 2276:, Wiley, 1678:, Wiley, 1462:) : 1442:Sortition 1082:July 2024 1011:July 2015 542:databases 5458:Politics 5453:Business 5445:Category 4874:Category 4567:Survival 4444:Johansen 4167:Binomial 4122:Isotonic 3709:(normal) 3354:location 3161:Blocking 3116:Sampling 2995:Q–Q plot 2960:Box plot 2942:Graphics 2837:Skewness 2827:Kurtosis 2799:Variance 2729:Heronian 2724:Harmonic 1976:24257187 1736:(1985). 1637:(1966). 1580:(1999). 1558:(1977). 1334:See also 846:Anderson 573:quantify 246:observed 218:roulette 65:(termed 59:sampling 4954:Social 4900:Commons 4847:Kriging 4732:Process 4689:studies 4548:Wavelet 4381:General 3548:Plug-in 3342:L space 3121:Cluster 2822:Moments 2640:Outline 2457:(ed.). 2416:2982726 2382:2981677 2226:15 July 2013:2345712 1762:2981944 1674:(1995) 1625:at the 947:. This 351:cluster 115:Laplace 109:History 5022:Census 5002:Couple 4769:Census 4359:Normal 4307:Manova 4127:Robust 3877:2-way 3869:1-way 3707:-test 3378:  2955:Biplot 2746:Median 2739:Lehmer 2681:Center 2504:166605 2502:  2468:  2414:  2380:  2318:  2304:  2280:  2249:  2217:  2011:  1974:  1875:  1760:  1682:  1665:166526 1663:  1653:  1610:  1588:  1566:  1527:  1521:Norton 1504:  1477:  964:, and 958:MANOVA 830:random 410:, and 288:and a 235:copper 67:sample 53:, and 4393:Trend 3922:prior 3864:anova 3753:-test 3727:-test 3719:-test 3626:Power 3571:Pivot 3364:shape 3359:scale 2809:Shape 2789:Range 2734:Heinz 2709:Cubic 2645:Index 2500:JSTOR 2412:JSTOR 2378:JSTOR 2112:(PDF) 2009:JSTOR 1812:(PDF) 1758:JSTOR 1454:Notes 1328:ERNIE 322:isn't 178:at a 77:Each 4626:Test 3826:Sign 3678:Wald 2751:Mode 2689:Mean 2530:ASTM 2466:ISBN 2316:ISBN 2302:ISBN 2278:ISBN 2247:ISBN 2228:2019 2215:ISBN 2071:2018 1972:PMID 1873:ISBN 1845:2023 1819:2023 1680:ISBN 1661:OCLC 1651:ISBN 1608:ISBN 1586:ISBN 1564:ISBN 1525:ISBN 1502:ISBN 1475:ISBN 866:grab 470:pair 331:does 156:bias 93:and 3806:BIC 3801:AIC 2517:ISO 2492:doi 2439:doi 2404:doi 2400:156 2370:doi 2366:147 2338:doi 2326:doi 2001:doi 1962:doi 1750:doi 1746:148 1629:): 1282:In 1077:. 1031:In 1006:. 872:or 850:LDA 813:In 581:not 566:all 562:all 416:any 353:or 233:of 45:In 5492:: 2498:. 2486:. 2435:88 2433:. 2410:. 2398:. 2376:. 2364:. 2336:, 2163:^ 2138:. 2088:^ 2061:. 2021:^ 2007:. 1997:48 1995:. 1970:. 1958:30 1956:. 1952:. 1938:^ 1871:. 1853:^ 1836:. 1778:". 1756:. 1744:. 1740:. 1659:. 1649:. 1645:. 1523:. 1039:. 960:, 868:, 554:un 544:. 538:if 406:, 384:no 345:, 341:, 318:is 295:A 292:. 237:. 105:. 57:, 49:, 4947:e 4940:t 4933:v 3751:G 3725:F 3717:t 3705:Z 3424:V 3419:U 2621:e 2614:t 2607:v 2506:. 2494:: 2488:2 2474:. 2445:. 2441:: 2418:. 2406:: 2384:. 2372:: 2344:. 2340:: 2328:: 2255:. 2230:. 2144:. 2114:. 2073:. 2044:. 2035:. 2015:. 2003:: 1978:. 1964:: 1932:. 1913:. 1898:. 1881:. 1847:. 1821:. 1797:. 1764:. 1752:: 1667:. 1616:. 1594:. 1572:. 1533:. 1508:. 1481:. 1084:) 1080:( 1013:) 1009:( 519:k 515:k 511:k 34:. 20:)

Index

Random sampling
Sampling (disambiguation)

statistics
quality assurance
survey methodology
statistical population
observation
survey sampling
stratified sampling
probability theory
statistical theory
Acceptance sampling
specifications
Laplace
ratio estimator
confidence intervals
Bayes' theorem
prior probability
Alexander Ivanovich Chuprov
Imperial Russia
Literary Digest
presidential election
bias

Elections in Singapore
2015 election
Elections Department
confidence interval
margin of error

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑