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Ewens's sampling formula





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  1. Ewens's sampling formula

    In population genetics , Ewens sampling formula , describes the probabilities associated with counts of how many different allele s are observed a given number of times in the sample. Definition Ewens sampling formula, introduced by Warren Ewens , states that under certain conditions specified below , if a random sample of n gamete s is taken from a population and classified according to the gene at a particular locus genetics locus then the probability that there are a sub 1 sub allele s represented once in the sample, and a sub 2 sub alleles represented twice, and so on, is math operatorname Pr a 1, dots,a n theta n over theta theta 1 cdots theta n 1 prod j 1 n theta a j over j a j a j , math for some positive number , whenever a sub 1 sub , ..., a sub n sub is a sequence of nonnegative integers such that math a 1 2a 2 3a 3 cdots na n n. , math The phrase under certain conditions , used above, must of course be made precise. The assumptions are 1 the sample size n is small by comparison to the size of the whole population, and 2 the population is in statistical equilibrium under mutation and genetic drift and the role of selection at the locus in question is negligible, and 3 every mutant allele is novel. See also idealised population . This is a probability distribution on the set of all integer partition partitions of the integer n . Among probabilists and statisticians it is often called the multivariate Ewens distribution . When 0, the probability is 1 that all n genes ... , Wiley. ISBN 0 471 12844 9. ProbDistributions multivariate DEFAULTSORT Ewens s Sampling Formula ... the formula above would give if m were put in place of n . The Ewens distribution arises naturally from ... inline date August 2011 References Warren Ewens, The sampling theory of selectively neutral alleles ... and Physical Sciences , volume 361, number 1704, 1978. S. Tavare and W. J. Ewens, http www.cmb.usc.edu people stavare STpapers pdf TE97.pdf The Multivariate Ewens distribution . 1997, Chapter 41 from ...   more details



  1. Warren Ewens

    Warren Ewens Fellow of the Royal Society FRS , Fellow of the Australian Academy of Science FAA is an Australian born professor of biology at the University of Pennsylvania . He concentrates his research on the mathematical, statistical and theoretical aspects of population genetics . Ewens has worked in human population genetics , computational biology, and evolutionary population genetics. He introduced Ewens s sampling formula . Ewens received a B.A. and M.A. from the University of Melbourne , and a Ph.D. from the Australian National University in 1962. He joined the department of biology at the University of Pennsylvania in 1972 and in 2006 was named the Christopher H. Browne Distinguished Professor of Biology. Prof. Ewens is a Fellow of the Royal Society and the Australian Academy of Science . He is also the recipient of the Australian Statistical Society Pitman Medal and Oxford University s Weldon Memorial Prize . His teaching and mentoring at the University of Pennsylvania have also been recognized by awards. cn date April 2011 Prof. Ewens also participates in the Genomics and Computational Biology GCB Ph.D. program of the University of Pennsylvania School of Medicine . See also Ewens s sampling formula The Multivariate Ewens distribution Publications cite journal author Ewens W.J. year 1972 title The sampling theory of selectively neutral alleles journal Theoretical Population Biology volume 3 pages 87 112 doi 10.1016 0040 5809 72 90035 4 pmid 4667078 issue 1 cite book author Ewens W.J. year 2004 title Mathematical Population Genetics 2nd Edition publisher Springer Verlag, New York isbn 0 387 20191 2 External links http www.bio.upenn.edu faculty ewens Ewens page at the University of Pennsylvania http www.upenn.edu almanac v50 n11 ewens.html Warren Ewens named Christopher ... Ewens, Warren ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Ewens, Warren Category University of Pennsylvania faculty Category Year of birth ...   more details



  1. Maurice Ewens

    Maurice Ewens , alias Newport 1611 1687 , was a Jesuit . References reflist DNB wstitle Ewens, Maurice Persondata Metadata see Wikipedia Persondata . NAME Ewens, Maurice ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1611 PLACE OF BIRTH DATE OF DEATH 1687 PLACE OF DEATH DEFAULTSORT Ewens, Maurice Category 1611 births Category 1687 deaths Category People of the Stuart period Category 17th century Jesuits Category English Jesuits UK reli bio stub ...   more details



  1. Percival Ewens

    Onesource date August 2011 Percival Charles Ewens played seven first class cricket first class cricket matches for Somerset County Cricket Club Somerset between 1923 and 1926 as a right handed batsman, batting mostly well down the lower order. He did not make his first appearance until he was over the age of 40, and all his first class cricket appearances were in away matches. Ewens, born at Yeovil , Somerset on 23 November 1882, made his debut for Somerset in a low scoring match at Chesterfield against Derbyshire County Cricket Club Derbyshire in July 1923, batting at No 10 in each innings and being not out both times. ref cite web url http www.cricketarchive.com Archive Scorecards 10 10885.html title Derbyshire v Somerset date 1923 07 14 publisher www.cricketarchive.com accessdate 2008 12 06 ref He played in Somerset s next match, at Mote Park Maidstone against Kent County Cricket Club Kent , batting at No 5 in the first innings, but then again at No 10 in the second innings, when he reached double figures for the first time in first class cricket. ref cite web url http www.cricketarchive.com Archive Scorecards 10 10894.html title Kent v Somerset date 1923 07 18 publisher www.cricketarchive.com accessdate 2008 12 06 ref Ewens next appeared for Somerset in 1925 in a single match against Sussex County Cricket Club Sussex , in which, batting at No 8, he made his highest score to date, 24. ref cite web url http www.cricketarchive.com Archive Scorecards 11 11529.html title Sussex v Somerset date 1925 06 13 publisher www.cricketarchive.com accessdate 2008 12 06 ref And then in 1926, he made four mostly lower order appearances in away matches, in one of which, against Middlesex ... web url http www.cricketarchive.com Archive Players 3 3540 3540.html title Percival Ewens publisher ... Ewens, Percival ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1882 PLACE OF BIRTH DATE OF DEATH 1961 PLACE OF DEATH DEFAULTSORT Ewens, Percival Category 1882 births Category 1961 deaths Category English ...   more details



  1. Ewens Ponds

    Infobox lake lake name Ewens Ponds image lake caption lake image bathymetry caption bathymetry location South Australia coords Coord 38 01 36 S 140 47 26 E region AU SA type waterbody display inline,title type Cenote s inflow Eight Mile Creek outflow catchment basin countries Australia length width area depth max depth 10 metres 30 feet volume residence time shore elevation islands cities Ewens Ponds are a series of three limestone sinkholes on Eight Mile Creek convert 25 km mi sp us south of Mount Gambier, South Australia Mount Gambier and convert 5 km mi sp us east of Port Macdonnell , South Australia . The ponds are popular with scuba diving scuba divers , with underwater visibility of up to 80 metres 264  feet and a large fish population including the endangered golden pygmy perch . History ... tribe, part of a larger Bunganditj clan. The first European identified with the area was Thomas Ewens, whose dog chased a kangaroo into one of the ponds. ref name EPCPMP cite book title Ewens Ponds Conservation ... EPCPMP In 1978 a trout farm was established utilising the waters flowing through Ewens Ponds. Although ... Mile Creek downstream from the pond system. ref cite book title Ewens Ponds Conservation Park Management ... of soluble limestone to form hollows and small caves, ref cite book title Ewens Ponds Conservation ... www.about australia.com travel guides south australia limestone coast attractions natural ewens ponds ... coauthors title EPA probes possible Ewens Ponds algae outbreak work ABC News pages publisher Australian ... release title Ewens Ponds algae no risk to public publisher Department of Environment and Heritage, South ... galaxias . ref cite book title Ewens Ponds Conservation Park Management Plan first last coauthors ... of the carnivorous caddis fly . ref name AustNet cite web title Ewens Ponds publisher Australian ... of Piccaninnie Ponds and Ewens Ponds journal Australian Society for Limnology Congress volume ... in Ewens Ponds publisher Department of Environment and Heritage, South Australia month ...   more details



  1. Sampling

    wiktionarypar sampling Sampling may refer to Sampling signal processing , converting a continuous signal into a discrete signal Sample graphics Sampling graphics , converting continuous colors into discrete color components Sampling music , re using portions of sound recordings in a piece Sampler musical instrument , an electronic music instrument that plays back sound recordings on command Sampling statistics , selection of observations to acquire some knowledge of a statistical population Sampling case studies , selection of cases for single or multiple case studies Sampling audit , application of audit procedures to less than 100 of population to be audited Sampling medicine , gathering of matter from the body to aid in the process of a medical diagnosis and or evaluation of an indication for treatment, further medical tests or other procedures. Sampling for testing or analysis , taking a representative portion of a material or product to test e.g. by physical measurements, chemical analysis, microbiological examination , typically for the purposes of identification, quality control, or regulatory assessment Specific types of sampling include Chorionic villus sampling , a method of detecting fetal abnormalities Food sampling , the process of taking a representative portion of a food ... with free sample Food, free samples , a method of promoting food items to consumers Oil sampling , the process of collecting samples of oil from machinery for analysis Theoretical sampling , the process of selecting comparison cases or sites in qualitative research Water sampling , the process of taking ... sampling , a method of estimating the standard time for manufacturing operations. See also Sample disambiguation Sampler disambiguation disambig ca Mostreig cs Vzorkov n rozcestn k de Sampling es Muestreo fa fr chantillonnage ko it Campionamento he ja no Sampling pl Sampling pt Amostragem ru simple Sampling sv Sampling ...   more details



  1. Sampling fraction

    In sampling theory , sampling fraction is the ratio of sample size to population size or, in the context of stratified sampling , the ratio of the sample size to the size of the stratum. ref cite book last Dodge first Yadolah title The Oxford Dictionary of Statistical Terms publisher Oxford University Press location Oxford date 2003 isbn 0 19 920613 9 language English ref The formula for the sampling fraction is n N , where n is the sample size and N is the population size. If the sampling fraction is less than 5 , then the finite population effect might be ignored. References references Statistics stub Category Sampling statistics Category Statistical ratios ...   more details



  1. Sampling theory

    sampling theory may mean Nyquist Shannon sampling theorem , digital signal processing DSP Statistical sampling Fourier sampling mathdab ...   more details



  1. Work sampling

    Work Sampling is the statistical technique for determining the proportion of time spent by workers in various ... work flows. Other names used for it are activity sampling , occurrence sampling , and ratio delay study ref name Sheth . In a work sampling study, a large number of Observation observations ... of activities performed by the subjects. One important usage of the work sampling technique ... motion time system predetermined motion time systems . Characteristics of work sampling study The study of work sampling has some general characteristics related to the work condition. One of them is the sufficient time available to perform the study. A work sampling study usually requires a substantial ... the study. Another characteristic is multiple workers. Work sampling is commonly used to study ... number of categories. Steps in conducting a work sampling study There are several recommended steps when starting to prepare a work sampling study ref name Groover Define the manufacturing tasks ... needed. Identify the observers who will do the Sampling statistics sampling . Start the study .... Determining the Number of Observations Needed In Work Sampling After the work elements are defined .... The formula used in this method is math sigma P sqrt frac pq n math math n frac pq sigma ... sampling Work sampling was initially developed for determining time allocation among workers tasks in manufacturing ... for examining a range of different research questions ref name Robinson . See also Sampling statistics Profiling computer programming can be done by work sampling a computer program. References Reflist ... name Tsai Tsai, W . H. 1996 . A technical note on using work sampling to estimate the effort on activities ..., N. 2007 . A comparison of self reported and observational work sampling techniques for measuring ..., S. 1996 . PATH A work sampling based approach to ergonomic job analysis for construction and other ... 00078 X ref ref name Robinson Robinson, M. A. 2010 . Work sampling Methodological advances and new ...   more details



  1. Umbrella sampling

    sampling in statistics. Systems in which an energy barrier separates two regions of configuration space may suffer from poor sampling in Metropolis Monte Carlo runs, as the low probability of overcoming ... at intermediate values of Q . This prevents the simulation from adequately sampling both phases. Umbrella sampling is a means of bridging the gap in this situation. The standard Boltzmann weighting for Monte Carlo sampling is replaced by a potential chosen to cancel the influence of the energy barrier .... Values for a thermodynamic property A deduced from a sampling run performed in this manner can be transformed into canonical ensemble values by applying the formula math langle A rangle frac langle ... simulation. Series of umbrella sampling simulations can be analyzed using the weighted histogram ... way to apply the umbrella sampling method, as described in Frenkel & Smit s book Understanding Molecular Simulation . Alternatives to umbrella sampling for computing Potential of mean force potentials ... sampling Transition interface sampling transition interface sampling . A further alternative which functions in full non equilibrium is transition path sampling Stochastic process rare event sampling ...   more details



  1. Sampling risk

    Unreferenced date July 2007 In audit ing, sampling is an inevitable means of testing. However, sampling is always associated with sampling risks which auditors have to control. Sampling risk represents the possibility that auditor s conclusion based on a sample is different from that reached if the entire population were subject to audit procedure. The auditor may conclude that material misstatements exist, in fact they do not or material misstatements do not exist but in fact they do exist. Auditor can lower the sampling risk by increasing the Sample size sampling size . Non sampling risk includes factors that cause auditors to reach a conclusion other than the sampling size. Interpreting Misinterpretation of evidence and inappropriate Procedure term procedures are good examples. Changing of the sampling size would not reduce non sampling risk. See also Sample statistics DEFAULTSORT Sampling Risk Category Sampling statistics Category Actuarial science Category Risk ...   more details



  1. Sampling distribution

    In statistics , a sampling distribution or finite sample distribution is the probability distribution of a given statistic based on a random sample . Sampling distributions are important in statistics ..., they allow analytical considerations to be based on the sampling distribution of a statistic, rather than on the joint probability distribution of all the individual sample values. Introduction The sampling ... size. The sampling distribution depends on the underlying probability distribution distribution of the population, the statistic being considered, the sampling procedure employed and the sample size used. There is often considerable interest in whether the sampling distribution can be approximated ... average value, and the distribution of these averages is called the sampling distribution of the sample ... population is normal, although sampling distributions may also often be close to normal even ... mean is the sample median . When calculated from the same population, it has a different sampling distribution ... form . In such cases the sampling distributions may be approximated through Monte Carlo simulation ... The standard deviation of the sampling distribution of the statistic is referred to as the standard ... number of items in the sample. An important implication of this formula is that the sample .... Examples class wikitable Population Statistic Sampling distribution Normal distribution Normal math ... that no information is lost by replacing the full probabilistic description of the sample with the sampling ... of a statistical hypothesis test or a confidence interval , the availability of the sampling ... the sampling distribution of a statistic is available, one can consider replacing the final outcome .... Such a procedure would involve the sampling distribution of the statistics. The results would ... ExcelSampler Generate sampling distributions in Excel http demonstrations.wolfram.com StatisticsAssociatedWithNormalSamples Mathematica demonstration showing the sampling distribution of various ...   more details



  1. Bernoulli sampling

    In the theory of finite population sampling , Bernoulli sampling is a sampling process where each element of the statistical population population that is sampled is subjected to an statistical independence independent Bernoulli trial which determines whether the element becomes part of the sample during the drawing of a single sample. An essential property of Bernoulli sampling is that all elements of the population have equal probability of being included in the sample during the drawing of a single sample. Bernoulli sampling is therefore a special case of Poisson sampling , where each element of the population may have a different probability of being included in the sample. Because each element of the population is considered separately for the sample, the sample size is not fixed but rather follows a binomial distribution . See also Poisson sampling Bernoulli trial Bernoulli process Sampling design Further reading Sarndal, Swenson, and Wretman 1992 , Model Assisted Survey Sampling, Springer Verlag, ISBN 0 387 40620 4 Category Sampling statistics Category Sampling techniques ...   more details



  1. Correct sampling

    During sampling of Particulate matter particulate materials , correct sampling is defined in Gy s sampling theory as a sampling scenario in which all particles in a population have the same probability of ending up in the sample ref name Gy1979 P. M. Gy 1979 , Sampling of Particulate Materials theory and practice. Elsevier Amsterdam, 431 pp. ref . The concentration of the property of interest in a sample can be a Bias statistics biased estimate, for the concentration of the property of interest in the population from which the sample is drawn. Although generally non zero, for correct sampling this bias is thought to be negligible ref name Gy1979 ref . See also Particulate matter sampler Statistical sampling Gy s sampling theory References Reflist Category Sampling statistics Category Particulates Category Meteorological instrumentation and equipment statistics stub ...   more details



  1. Sampling (medicine)

    Other uses Sampling disambiguation Sampling In medicine , sampling is gathering of matter from the body to aid in the process of a medical diagnosis and or evaluation of an indication medicine indication for treatment, further medical test s or other procedures. In this sense, the sample is the gathered matter, and the sampling tool or sampler is the person or material to collect the sample. Sampling is a prerequisite for many medical test s, but generally not for medical history , physical examination and radiologic test s. By types of sampled matter Biopsy A biopsy is the removal of Biological tissue tissue s from the body, generally in the sense of solid or soft tissue targets. Cytopathologic sampling anchor aspiration Cytopathology Cytopathologic sampling particularly involves gathering of cells to detect abnormalities, generally not preserving the normal tissue structure. Puncture also called centesis followed by aspiration is the main method used for cytopathologic sampling. The main method is fine needle aspiration , but there are also somewhat differently designed needles, such as for bone marrow aspiration . Body fluid sampling Body fluid sampling include anchor blood Blood sampling for any blood test , including Artery Arterial blood sampling, such as by radial artery puncture Capillary blood sampling, such as by using a blood lancet Venous blood sampling, also called venipuncture Blood sampling techniques include using a blood lancet , Lumbar puncture to sample cerebrospinal fluid Thoracocentesis to sample pleural fluid Amniocentesis to sample amniotic fluid Microbiological sampling Medical microbiology Microbiological sampling include Blood sampling for blood culture s, performed similarly as that for tests on the fluid itself above anchor swab Throat swab for throat culture . It s performed by applying a cotton swab to the surface of the throat . anchor brush Sampling of sputum from the lungs for sputum culture . It can be performed by special techniques ...   more details



  1. Nonprobability sampling

    Refimprove date October 2009 sampling statistics Sampling is the use of a subset of the population statistics population to represent the whole population. Probability sampling, or random sampling , is a sampling technique in which the probability of getting any particular sample may be calculated. Nonprobability sampling does not meet this criterion and should be used with caution. Nonprobability sampling techniques cannot be used to infer from the sample to the general population. Any generalizations obtained from a nonprobability sample must be filtered through one s knowledge of the topic being studied. Performing nonprobability sampling is considerably less expensive than doing probability sampling, but the results are of limited value. Examples of nonprobability sampling include Convenience, Haphazard or Accidental sampling members of the population are chosen based on their relative ease of access. To sample friends, co workers, or shoppers at a single mall, are all examples of convenience sampling . Snowball sampling The first respondent refers a friend. The friend also refers a friend, etc. Judgmental sampling or Purposive sampling The researcher chooses the sample based on who they think would be appropriate for the study. This is used primarily when there is a limited number of people that have expertise in the area being researched. Deviant Case Get cases that substantially differ from the dominant pattern a special type of purposive sample . Case study The research is limited to one group, often with a similar characteristic or of small size. ad hoc quotas A quota ... studies due to unintentional or unavoidable characteristics of the sampling method. In public ..., and the validity of the estimates of parameters based on them unknown. See also Sampling statistics Cluster sampling Judgment sample Multistage sampling Simple random sample Systematic sampling Stratified sampling DEFAULTSORT Nonprobability Sampling Category Sampling techniques Category ...   more details



  1. Sampling design

    In the theory of finite population sampling statistics sampling , a sampling design specifies for every possible sample statistics sample its probability of being drawn. Mathematics Mathematically , a sampling design is denoted by the function math P S math which gives the probability of drawing a sample math S. math An example of a sampling design During Bernoulli sampling , math P S math is given by math P S q N text sample S times 1 q N text pop N text sample S math where for each element math q math is the probability of being included in the sample and math N text sample S math is the total number of elements in the sample math S math and math N text pop math is the total number of elements in the population before sampling commenced . See also Statistical sampling Bernoulli sampling Further reading Sarndal, Swenson, and Wretman 1992 , Model Assisted Survey Sampling, Springer Verlag, ISBN 0 387 40620 4 Category Sampling statistics statistics stub ...   more details



  1. Quota sampling

    Quota sampling is a method for selecting survey participants. In quota sampling, a population is first segmented into mutually exclusive sub groups, just as in stratified sampling . Then judgment 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. This means that individuals can put a demand on who they want to sample targeting This second step makes the technique non probability sampling. In quota sampling, the selection of the sample is non random sample and can be Reliability statistics unreliable . For example, interviewers might be tempted to interview those people in the street who look most helpful, or may choose to use accidental sampling to question those closest to them, for time keeping sake. The problem is that these samples may be biased because not everyone gets a chance of selection. This non random element is a source of uncertainty about the nature of the actual sample and quota versus probability has been a matter of controversy for many years. ref http www.fao.org docrep W3241E w3241e08.htm quota 20sampling Marketing Research and Information Systems. Marketing and Agribusiness Texts 4 ref Quota sampling is useful when time is limited, a sampling frame is not available, the research budget is very tight or when detailed accuracy is not important. Subsets are chosen and then either convenience or judgment sampling is used to choose people from each subset. The researcher decides how many of each category is selected. Quota sampling is the non probability version of stratified sampling. In stratified sampling, subsets of the population are created so that each subset has a common characteristic, such as gender. Random sampling chooses a number of subjects from each subset with, unlike a quota sample, each potential ... Sampling techniques de Quotenstichprobe ru ...   more details



  1. Poisson sampling

    In the theory of finite population sampling , Poisson sampling is a sampling statistics sampling process where each element of the statistical population population that is sampled is subjected to an statistical independence independent Bernoulli trial which determines whether the element becomes part of the sample during the drawing of a single sample. Each element of the population may have a different probability of being included in the sample. The probability of being included in a sample during the drawing of a single sample is denoted as the first order inclusion probability of that element. If all first order inclusion probabilities are equal, Poisson sampling becomes equivalent to Bernoulli sampling , which can therefore be considered to be a special case of Poisson sampling. A mathematical consequence of Poisson sampling Mathematically, the first order inclusion probability of the i th element of the population is denoted by the symbol sub i sub and the second order inclusion probability that a pair consisting of the i th and j th element of the population that is sampled is included in a sample during the drawing of a single sample is denoted by sub ij sub . The following relation is valid during Poisson sampling math pi ij pi i times pi j . , math See also Bernoulli sampling Poisson distribution Poisson process Sampling design Further reading Sarndal, Swenson, and Wretman 1992 , Model Assisted Survey Sampling, Springer Verlag, ISBN 0 387 40620 4 Category Sampling statistics Category Sampling techniques ...   more details



  1. Cluster sampling

    Cluster Sampling is a sampling statistics sampling technique used when natural groupings are evident ... each of these groups. A common motivation for cluster sampling is to reduce the average cost per interview ... exhaustive. A random sampling technique is then used on any relevant clusters to choose which clusters to include in the study. In single stage cluster sampling, all the elements from each of the selected clusters are used. In two stage cluster sampling, a random sampling technique is applied to the elements from each of the selected clusters. The main difference between cluster sampling and stratified sampling is that in cluster sampling the cluster is treated as the sampling unit so analysis is done on a population of clusters at least in the first stage . In stratified sampling, the analysis is done on elements within strata. In stratified sampling, a random sample is drawn from each of the strata, whereas in cluster sampling only the selected clusters are studied. The main objective of cluster sampling is to reduce costs by increasing sampling efficiency. This contrasts with stratified sampling where the main objective is to increase precision. There also exists multistage sampling, where more than two steps are taken in selecting clusters from clusters. Aspects of cluster sampling One version of cluster sampling is area sampling or geographical cluster sampling . Clusters ... to survey, greater economy than simple random sampling can be achieved by treating several respondents ... sampling is used. In this method, the probability of selecting any cluster varies with the size of the cluster ... probability of selection. Cluster sampling is used to estimate high mortalities in cases such as war ... than other methods e.g. fewer travel expenses, administration costs Disadvantages Higher sampling ... , 316, 1455 1460. ref See also Sampling statistics Multistage sampling Simple random sampling References Reflist DEFAULTSORT Cluster Sampling Category Sampling techniques Category Market research de Klumpen ...   more details



  1. Sampling error

    In statistics , sampling error or estimation error is the amount of inaccuracy in estimating some value ... name Sarndal Sarndal, Swenson, and Wretman 1992 , Model Assisted Survey Sampling, Springer Verlag, ISBN 0 387 40620 4 ref Sampling error can be measured and quoted in many different ways, but in practice ... sampling In statistics , sampling error is the Errors and residuals in statistics error caused by observing a sample instead of the whole population. ref name Sarndal The sampling error can be found ... 2010 In nursing research, a sampling error is the difference between a sample statistic used to estimate ... can theoretically be expressed as sampling errors, although in practice the exact sampling error is typically unknown. Sampling error also refers more broadly to this phenomenon of random sampling variation. An example of a sampling error in evolution is genetic drift a change is a population ... represent the original population. What makes the bottleneck effect a sampling error is that certain ... it a sampling error. Another example of genetic drift that is a sampling error is the founder effect .... In this instance, there are only a few individuals with little gene variety, making it a sampling ... Benjamin Cummings pages 450 451 date year 2002 isbn ref The likely size of the sampling error can generally ... probability probabilistic estimates of the likely size of the sampling error for a particular statistic ... . Bias problems Sampling bias is a possible source of sampling errors. It leads to sampling errors ... errors . Non sampling error Sampling error can be contrasted with non sampling error . Non sampling ... chosen, including various systematic error s and any random errors that are not due to sampling. Non sampling errors are much harder to quantify than sampling error. ref name Scheuren See also Margin of error Propagation of error Sampling statistics Citations Reflist Burns, N & Grove, S.K. ... Sampling, Springer Verlag, ISBN 0 387 40620 4 Fritz Scheuren 2005 . What is a Margin of Error? , Chapter ...   more details



  1. Theoretical sampling

    Theoretical sampling refers to the process of choosing new research sites or cases to compare with ones that have already been studied. It is one of the tools of qualitative research . The term was coined by Barney Glaser and Anselm Strauss in 1967. The goal of theoretical sampling is not the same as with the sampling statistics probabilistic sampling the researcher s goal is not the representative capture of all possible variations, but to gain a deeper understanding of analysed cases and facilitate the development of analytic frame and concept s used in their research. Theoretical sampling can be viewed as a technique of data triangulation using independent pieces of information to get a better fix on something that is only partially known or understood. See also Grounded theory Sampling statistics Sampling case studies References Charles C. Ragin , Constructing Social Research The Unity and Diversity of Method , Pine Forge Press, 1994, ISBN 0 8039 9021 9 Barney G. Glaser & Anselm L. Strauss , The Discovery of Grounded Theory Strategies for Qualitative Research , Chicago, Aldine Publishing Company, 1967, ISBN 0 202 30260 1 Category Sociological terms ...   more details



  1. Sampling valve

    File Inline sample valves and reactor sampling system.jpg thumb Inline sample valves and reactor sampling system A Sampling Valve is a type of valve used in process industries that allows taking a representative portion of a fluid gas es, liquid s, fluidize d, solid s, or slurries to test e.g. by physical measurements, chemical analysis, microbiological examination , typically for the purposes of identification, quality control, or regulatory assessment. It is a valve used for sampling . The Sampling Valve allows the operator to extract a sample of the product from the production line or reactor and safely store it for transportation to the laboratory where it will be analysed or to the archive room where it can be retrieved for further use. In chemical plant s, a sample can be taken during the process to ensure that the output meets specifications or that the quality is acceptable , before shipping the chemical good or before accepting the chemical product. Sampling Problem File Sampling Problems.png thumb Common problems without the use of an appropriate sampling valve. When sampling chemical products, it is of utmost importance to select representative material to analyse. The sample must be representative of the lot, and the choice of samples is critical to producing a valid analysis. The statistics of the sampling process are also important. ref The University of Adelaide, Department of Chemistry http www.chemistry.adelaide.edu.au external soc rel content sampling.htm Sampling ref And in order for a sample to be representative, it must not contain remains of previous batches that might have stay in the valve s dead space . For example, a ball valve commonly found in tap ... plant and the environment. When sampling hazardous chemicals or deadly substances, it is extremely ... valve When choosing a Sampling Valve , different factors have to be considered The material ... or syringe See also Other type of Valve s Sampling References See http en.wikipedia.org wiki Wikipedia ...   more details



  1. Acceptance sampling

    Acceptance sampling uses statistical sampling to determine whether to accept or reject a production lot ... pages 1248 url accessdate ref A wide variety of acceptance sampling plan s are available. History Acceptance sampling procedures became common during WWII. Sampling plans, such as MIL STD 105 , were ... control , HACCP , six sigma , and ISO 9000 . Some use of acceptance sampling still remains. Rationale Sampling provides one rational means of verifying verification that a production lot conforms ... of the operating characteristic curve of the sampling plan. These are primarily statistical risks ... can have a known average outgoing quality limit AOQL . Acceptance sampling for attributes A single sampling plan for attributes is a statistical method by which the lot is accepted or rejected on the basis ... sampling plan requires the selection of the sample size math N math and the acceptance number ... for sampling by attributes pass or fail characteristic . MIL STD 105E was cancelled in 1995 but is available in related documents such as ANSI ASQ Z1.4, Sampling Procedures and Tables for Inspection ... plans When a measured characteristic produces a number, other sampling plans such as those based on MIL STD 414 are often used. Compared with attribute sampling plans, these often use a smaller ..., ISBN 007034003 Squeglia , N L, Zero Acceptance Number Sampling Plans, Fifth Edition, ASQ Press, ISBN 978 0 87389 739 6 ASQ standards Sampling Procedures and Tables for Inspection by Variables for Percent Nonconforming, ANSI ASQ Z1.9 2008 Sampling Procedures and Tables for Inspection by Attributes, ANSI ASQ Z1.4 2008 ASTM standards ASTM E105 Standard Practice for Probability Sampling Of Materials ... of Evdence Based on the Results of Probability Sampling ASTM E1402 Standard Terminology Relating to Sampling ASTM E1994 Standard Practice for Use of Process Oriented AOQL and LTPD Sampling Plans ASTM E2234 Standard Practice for Sampling a Stream of Product by Attributes Indexedby AQL External links ...   more details



  1. Snowball sampling

    other uses2 Snowball More footnotes date May 2011 In sociology and statistics research, snowball sampling or chain sampling , chain referral sampling , referral sampling ref Snowball Sampling , Experiment ... ref Snowball Sampling , Changing Minds.org , http changingminds.org explanations research sampling snowball sampling.htm accessed 08 May 2011 . ref is a non probability sampling technique where existing ... for research. This sampling technique is often used in hidden populations which are difficult for researchers ... from a sampling frame , snowball samples are subject to numerous bias es. For example ... sampling called respondent driven sampling has been shown to allow researchers to make asymptotic ... sampling and respondent driven sampling also allows researchers to make estimates about the social network connecting the hidden population. What is Snowball Sampling? Snowball Sampling is a method used ... sampling uses recommendations to find people with the specific range of skills that has been ... a mutual intermediary. This is referred to metaphorically as snowball sampling because as more relationships ... and increases in size as it collects more snow. Snowball sampling is a useful tool for building networks ... the profile of persons involved in the snowballing exercise. When to Use Snowball Sampling? There are many reasons why an individual may want to use snowball sampling across any industry, research, job, etc. Specific to business and marketing, however, snowball sampling can be used to things ... these people, 3m used snowball sampling. They called experts that they had contacts and after gathering ... found the most knowledgeable individuals in a specific field. Thus, snowball sampling can be used to gather expert information. Advantages There are many different kinds of sampling, each with their own advantages and disadvantages. Snowball sampling has a lot of advantages as opposed to other sampling methods. It is possible for the surveyors to include people in the survey that they would ...   more details




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