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Using Boundless Presentations Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: • The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. http://boundless.com/teaching-platform • Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. If you have any questions or problems please email: educators@boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com
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Populations and Samples Sampling Sample Surveys Sampling Distributions Errors in Sampling ] Sampling Examples Sampling Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling > Populations and Samples Populations and Samples • Populations • Samples • Random Sampling • Random Assignment of Subjects • Surveys or Experiments? Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/sampling-7/populations-and-samples-27/
Sampling > Sample Surveys Sample Surveys • The Literary Digest Poll • The Year the Polls Elected Dewey • Using Chance in Survey Work • How Well Do Probability Methods Work? • The Gallup Poll • Telephone Surveys • Chance Error and Bias Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/sampling-7/sample-surveys-29/
Sampling > Sampling Distributions Sampling Distributions • What Is a Sampling Distribution? • Properties of Sampling Distributions • Creating a Sampling Distribution • Continuous Sampling Distributions • Mean of All Sample Means (μ x) • Shapes of Sampling Distributions • Sampling Distributions and the Central Limit Theorem Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/sampling-7/sampling-distributions-30/
Sampling > Errors in Sampling Errors in Sampling • Expected Value and Standard Error • Using the Normal Curve • The Correction Factor • A Closer Look at the Gallup Poll Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/sampling-7/errors-in-sampling-31/
Sampling > Sampling Examples Sampling Examples • Measuring Unemployment • Chance Models in Genetics Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/sampling-7/sampling-examples-32/
Appendix Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling Key terms • bellwetheranything that indicates future trends • bias(Uncountable) Inclination towards something; predisposition, partiality, prejudice, preference, predilection. • censusan official count of members of a population (not necessarily human), usually residents or citizens in a particular region, often done at regular intervals • central limit theoremThe theorem that states: If the sum of independent identically distributed random variables has a finite variance, then it will be (approximately) normally distributed. • chi-squared testIn probability theory and statistics, refers to a test in which the chi-squared distribution (also chi-square or χ-distribution) with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. • chromosomeA structure in the cell nucleus that contains DNA, histone protein, and other structural proteins. • clustera significant subset within a population • continuous random variableobtained from data that can take infinitely many values • controla separate group or subject in an experiment against which the results are compared where the primary variable is low or nonexistence • discrete random variableobtained by counting values for which there are no in-between values, such as the integers 0, 1, 2, …. • frequency distributiona representation, either in a graphical or tabular format, which displays the number of observations within a given interval • genea unit of heredity; a segment of DNA or RNA that is transmitted from one generation to the next, and that carries genetic information such as the sequence of amino acids for a protein Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • heterogeneousdiverse in kind or nature; composed of diverse parts • inferential statisticsA branch of mathematics that involves drawing conclusions about a population based on sample data drawn from it. • inferential statisticsA branch of mathematics that involves drawing conclusions about a population based on sample data drawn from it. • integralthe limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed • labor forceThe collective group of people who are available for employment, whether currently employed or unemployed (though sometimes only those unemployed people who are seeking work are included). • margin of errorAn expression of the lack of precision in the results obtained from a sample. • non-response biasOccurs when the sample becomes biased because some of those initially selected refuse to respond. • nonresponsethe absence of a response • nonresponsethe absence of a response • nonresponsethe absence of a response • normal distributionA family of continuous probability distributions such that the probability density function is the normal (or Gaussian) function. • null hypothesisA hypothesis set up to be refuted in order to support an alternative hypothesis; presumed true until statistical evidence in the form of a hypothesis test indicates otherwise. Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • Objectivenot influenced by the emotions or prejudices • Pareto DistributionThe Pareto distribution, named after the Italian economist Vilfredo Pareto, is a power law probability distribution that is used in description of social, scientific, geophysical, actuarial, and many other types of observable phenomena. • placeboan inactive substance or preparation used as a control in an experiment or test to determine the effectiveness of a medicinal drug • populationa group of units (persons, objects, or other items) enumerated in a census or from which a sample is drawn • populationa group of units (persons, objects, or other items) enumerated in a census or from which a sample is drawn • probability density functionany function whose integral over a set gives the probability that a random variable has a value in that set • probability distributionA function of a discrete random variable yielding the probability that the variable will have a given value. • probability samplea 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 • public opinion pollssurveys designed to represent the beliefs of a population by conducting a series of questions and then extrapolating generalities in ratio or within confidence intervals • purposive samplingoccurs when the researchers choose the sample based on who they think would be appropriate for the study; used primarily when there is a limited number of people that have expertise in the area being researched • quadrennialhappening every four years • quota samplinga sampling method that chooses a representative cross-section of the population by taking into consideration each important characteristic of the population proportionally, such as income, sex, race, age, etc. Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • random samplinga method of selecting a sample from a statistical population so that every subject has an equal chance of being selected • random variablea quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a die • response biasOccurs when the answers given by respondents do not reflect their true beliefs. • response biasOccurs when the answers given by respondents do not reflect their true beliefs. • samplea subset of a population selected for measurement, observation, or questioning to provide statistical information about the population • sampling distributionThe probability distribution of a given statistic based on a random sample. • sampling distributionThe probability distribution of a given statistic based on a random sample. • sampling distributionThe probability distribution of a given statistic based on a random sample. • sampling distributionThe probability distribution of a given statistic based on a random sample. • sampling distributionThe probability distribution of a given statistic based on a random sample. • skewedBiased or distorted (pertaining to statistics or information). • standard deviationa measure of how spread out data values are around the mean, defined as the square root of the variance Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • standard deviationa measure of how spread out data values are around the mean, defined as the square root of the variance • standard errorA measure of how spread out data values are around the mean, defined as the square root of the variance. • stratuma category composed of people with certain similarities, such as gender, race, religion, or even grade level • straw polla survey of opinion which is unofficial, casual, or ad hoc • unbiasedimpartial or without prejudice • undercoverageOccurs when a survey fails to reach a certain portion of the population. • undercoverageOccurs when a survey fails to reach a certain portion of the population. • undercoverageOccurs when a survey fails to reach a certain portion of the population. • unemploymentThe level of joblessness in an economy, often measured as a percentage of the workforce. • weighted averagean arithmetic mean of values biased according to agreed weightings • z-valuethe standardized value of an observation found by subtracting the mean from the observed value, and then dividing that value by the standard deviation; also called -score Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling Ringing Phone This image shows a ringing phone that is not being answered. Free to share, print, make copies and changes. Get yours at www.boundless.com Pixabay."Tower, Phone, Mail, Icon, Rings - Free image - 25477."CC BYhttp://pixabay.com/en/tower-phone-mail-icon-rings-25477/View on Boundless.com
Sampling Sampling Distribution of the Difference Between Means The distribution is normally distributed with a mean of 10 and a standard deviation of 3.317. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX."David Lane, Sampling Distribution of Difference Between Means May 10, 2013."CC BY 3.0http://cnx.org/content/m11132/latest/View on Boundless.com
Sampling Samples Online and phone-in polls produce biased samples because the respondents are self-selected. In self-selection bias, those individuals who are highly motivated to respond-- typically individuals who have strong opinions-- are over-represented, and individuals who are indifferent or apathetic are less likely to respond. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Learning."Boundless."CC BYhttps://www.boundless.com/psychology/psychology-as-science/descriptive-techniques/explanation-random-sampling/View on Boundless.com
Sampling Census This is the logo for the Bureau of the Census in the United States. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Census Bureau seal."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Census_Bureau_seal.jpgView on Boundless.com
Sampling Income in the United States Graph of United States income distribution from 1947 through 2007 inclusive, normalized to 2007 dollars. The data is from the US Census, which is a survey over the entire population, not just a sample. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."United States Income Distribution 1947-2007."CC BY-SAhttp://commons.wikimedia.org/wiki/File:United_States_Income_Distribution_1947-2007.svgView on Boundless.com
Sampling 1936 Presidential Election This map shows the results of the 1936 presidential election. Red denotes states won by Landon/Knox, blue denotes those won by Roosevelt/Garner. Numbers indicate the number of electoral votes allotted to each state. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."ElectoralCollege1936."CC BY-SAhttp://en.wikipedia.org/wiki/File:ElectoralCollege1936.svgView on Boundless.com
Sampling 1948 Election The table shows the results of three polls against the actual results in the 1948 presidential election. Notice that Dewey was ahead in all three polls, but ended up losing the election. Free to share, print, make copies and changes. Get yours at www.boundless.com The University of Alabama in Huntsville."The 1948 Presidential Election Polls."CC BYhttp://www.math.uah.edu/stat/data/1948Election.htmlView on Boundless.com
Sampling Voter Polling Questionnaire This questionnaire asks voters about their gender, income, religion, age, and political beliefs. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Voter poll."CC BY-SAhttp://en.wikipedia.org/wiki/File:Voter_poll.jpgView on Boundless.com
Sampling The Gallup Organization The Gallup, Inc. world headquarters in Washington, D.C. The National Portrait Gallery can be seen in the reflection. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Gallup Portrait."CC BY-SAhttp://en.wikipedia.org/wiki/File:Gallup_Portrait.jpgView on Boundless.com
Sampling Probability Density Function Boxplot and probability density function of a normal distribution . Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Boxplot vs PDF."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Boxplot_vs_PDF.svgView on Boundless.com
Sampling Relative Frequency Distribution Relative frequency distribution of our pool ball example. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX."David Lane, Introduction to Sampling Distributions. May 8, 2013."CC BY 3.0http://cnx.org/content/m11130/latest/View on Boundless.com
Sampling The Normal Distribution Sample distributions, when the sampling statistic is the mean, are generally expected to display a normal distribution. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Standard deviation diagram."CC BYhttp://commons.wikimedia.org/wiki/File:Standard_deviation_diagram.svgView on Boundless.com
Sampling Empirical Central Limit Theorem This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result in the 500 measured sample means being more closely distributed about the population mean (50 in this case). Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Empirical CLT - Figure - 040711."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Empirical_CLT_-_Figure_-_040711.jpgView on Boundless.com
Sampling Symmetrical Normal Curve This images shows the symmetry of the normal curve. In this case, P(z2.01). Free to share, print, make copies and changes. Get yours at www.boundless.com Wikidot."Chapter 7: Normal distribution - Statistics."CC BY-SAhttp://statistics.wikidot.com/ch7View on Boundless.com
Sampling Standard Deviation This is a normal distribution curve that illustrates standard deviations. The likelihood of being further away from the mean diminishes quickly on both ends. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Standard deviation diagram."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Standard_deviation_diagram.svgView on Boundless.com
Sampling U.S. Unemployment Measures U1–U6 from 1950–2010, as reported by the Bureau of Labor Statistics. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."US Unemployment measures."CC BY-SAhttp://commons.wikimedia.org/wiki/File:US_Unemployment_measures.svgView on Boundless.com
Sampling Control Group Take identical growing plants, randomly assign them to two groups, and give fertilizer to one of the groups. If there are differences between the fertilized plant group and the unfertilized "control" group, these differences may be due to the fertilizer. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Starr 011107-0010 Argyroxiphium sandwicense subsp.macrocephalum."CC BY-SAhttp://en.wikipedia.org/wiki/File:Starr_011107-0010_Argyroxiphium_sandwicense_subsp._macrocephalum.jpgView on Boundless.com
Sampling Standard Normal Table This table can be used to find the cumulative probability up to the standardized normal value . Free to share, print, make copies and changes. Get yours at www.boundless.com Wikidot."Using Normal Distributions - IB Math Stuff."CC BY-SAhttp://ibmathstuff.wikidot.com/usingnormaldistributionsView on Boundless.com
Sampling 68-95-99.7 Rule Dark blue is less than one standard deviation away from the mean. For the normal distribution, this accounts for about 68% of the set, while two standard deviations from the mean (medium and dark blue) account for about 95%, and three standard deviations (light, medium, and dark blue) account for about 99.7%. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Standard deviation diagram."CC BY-SAhttps://en.wikipedia.org/wiki/File:Standard_deviation_diagram.svgView on Boundless.com
Sampling Pool Ball Example 1 This table shows all the possible outcome of selecting two pool balls randomly from a population of three. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX."David Lane, Introduction to Sampling Distributions. May 8, 2013."CC BY 3.0http://cnx.org/content/m11130/latest/View on Boundless.com
Sampling Mendel's Seven Characters This diagram shows the seven genetic "characters" observed by Mendel. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Mendel seven characters."Public domainhttp://commons.wikimedia.org/wiki/File:Mendel_seven_characters.svgView on Boundless.com
Sampling The Literary Digest Cover of the February 19, 1921 edition of The Literary Digest. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."LiteraryDigest-19210219."CC BY-SAhttp://en.wikipedia.org/wiki/File:LiteraryDigest-19210219.jpgView on Boundless.com
Sampling Dewey Defeats Truman President Truman holds up the newspaper that wrongfully reported his defeat. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Deweytruman12."CC BY-SAhttp://en.wikipedia.org/wiki/File:Deweytruman12.jpgView on Boundless.com
Sampling Scientific Method This flow chart shows the steps of the scientific method. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."The Scientific Method."CC BY-SAhttp://commons.wikimedia.org/wiki/File:The_Scientific_Method.pngView on Boundless.com
Sampling Online Opinion Polls Online and phone-in polls also produce biased samples because the respondents are self-selected. In self-selection bias, those individuals who are highly motivated to respond-- typically individuals who have strong opinions-- are over-represented, and individuals who are indifferent or apathetic are less likely to respond. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Learning."Boundless."CC BYhttps://www.boundless.com/psychology/psychology-as-science/descriptive-techniques/explanation-random-sampling/View on Boundless.com
Sampling Houston Skyline Suppose you randomly sampled 10 people from the population of women in Houston, Texas between the ages of 21 and 35 years and computed the mean height of your sample. You would not expect your sample mean to be equal to the mean of all women in Houston. Free to share, print, make copies and changes. Get yours at www.boundless.com Flickr."All sizes | Houston Skyline | Flickr - Photo Sharing!."CC BYhttp://www.flickr.com/photos/mrbill/4803461/sizes/o/in/photostream/View on Boundless.com
Sampling Pool Ball Example 2 This table shows the frequency of means for . Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX."David Lane, Introduction to Sampling Distributions. May 8, 2013."CC BY 3.0http://cnx.org/content/m11130/latest/View on Boundless.com
Sampling Attribution • Wikipedia."Placebo."CC BY-SA 3.0http://en.wikipedia.org/wiki/Placebo • Wikipedia."Blind experiment."CC BY-SA 3.0http://en.wikipedia.org/wiki/Blind_experiment • Wikipedia."Random assignment."CC BY-SA 3.0http://en.wikipedia.org/wiki/Random_assignment • Wiktionary."control."CC BY-SA 3.0http://en.wiktionary.org/wiki/control • Wiktionary."null hypothesis."CC BY-SA 3.0http://en.wiktionary.org/wiki/null_hypothesis • Wikipedia."Survey methodology."CC BY-SA 3.0http://en.wikipedia.org/wiki/Survey_methodology • Wikipedia."Experiment."CC BY-SA 3.0http://en.wikipedia.org/wiki/Experiment • Wikipedia."placebo."CC BY-SA 3.0http://en.wikipedia.org/wiki/placebo • Wikipedia."The Literary Digest."CC BY-SA 3.0http://en.wikipedia.org/wiki/The_Literary_Digest • Wiktionary."straw poll."CC BY-SA 3.0http://en.wiktionary.org/wiki/straw_poll • Wiktionary."bellwether."CC BY-SA 3.0http://en.wiktionary.org/wiki/bellwether • Wikipedia."Dewey Defeats Truman."CC BY-SA 3.0http://en.wikipedia.org/wiki/Dewey_Defeats_Truman • Wikipedia."United States presidential election, 1948."CC BY-SA 3.0http://en.wikipedia.org/wiki/United_States_presidential_election,_1948 • Wiktionary."quadrennial."CC BY-SA 3.0http://en.wiktionary.org/wiki/quadrennial • Wiktionary."margin of error."CC BY-SA 3.0http://en.wiktionary.org/wiki/margin_of_error • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/quota-sampling • The University of Alabama in Huntsville."The 1948 Presidential Election Polls."CC BYhttp://www.math.uah.edu/stat/data/1948Election.html Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • Wikipedia."Sampling distribution."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_distribution • Wikipedia."Shape of the distribution."CC BY-SA 3.0http://en.wikipedia.org/wiki/Shape_of_the_distribution • Wiktionary."normal distribution."CC BY-SA 3.0http://en.wiktionary.org/wiki/normal_distribution • Wiktionary."probability distribution."CC BY-SA 3.0http://en.wiktionary.org/wiki/probability_distribution • Wiktionary."skewed."CC BY-SA 3.0http://en.wiktionary.org/wiki/skewed • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//sociology/definition/pareto-distribution • Wikipedia."Sampling distribution."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_distribution • Wikipedia."Central limit theorem."CC BY-SA 3.0http://en.wikipedia.org/wiki/Central_limit_theorem • Wiktionary."central limit theorem."CC BY-SA 3.0http://en.wiktionary.org/wiki/central_limit_theorem • Wikipedia."sampling distribution."CC BY-SA 3.0http://en.wikipedia.org/wiki/sampling%20distribution • OpenStax CNX."Susan Dean and Barbara Illowsky, Central Limit Theorem: Central Limit Theorem for Sample Means. September 17, 2013."CC BY 3.0http://cnx.org/content/m16947/latest/ • Wikipedia."Expected value."CC BY-SA 3.0http://en.wikipedia.org/wiki/Expected_value • Wikipedia."Standard error."CC BY-SA 3.0http://en.wikipedia.org/wiki/Standard_error • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/discrete-random-variable • Wiktionary."standard deviation."CC BY-SA 3.0http://en.wiktionary.org/wiki/standard_deviation • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/continuous-random-variable • Wiktionary."standard deviation."CC BY-SA 3.0http://en.wiktionary.org/wiki/standard_deviation • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/z-value • Wikidot."Chapter 7: Normal distribution - Statistics."CC BY-SAhttp://statistics.wikidot.com/ch7 Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • Wikidot."Using Normal Distributions - IB Math Stuff."CC BY-SAhttp://ibmathstuff.wikidot.com/usingnormaldistributions • Wikipedia."Expected value."CC BY-SA 3.0http://en.wikipedia.org/wiki/Expected_value • Wiktionary."weighted average."CC BY-SA 3.0http://en.wiktionary.org/wiki/weighted_average • Wiktionary."random variable."CC BY-SA 3.0http://en.wiktionary.org/wiki/random_variable • Wiktionary."integral."CC BY-SA 3.0http://en.wiktionary.org/wiki/integral • P.Mean Website."Stats: Expected value and moments (July 29, 2005)."CC BYhttp://www.pmean.com/05/Moments.asp • Wikipedia."Opinion poll."CC BY-SA 3.0http://en.wikipedia.org/wiki/Opinion_poll • Wikipedia."Gallup (company)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Gallup_(company) • Wikipedia."Nonprobability sampling."CC BY-SA 3.0http://en.wikipedia.org/wiki/Nonprobability_sampling • Wiktionary."nonresponse."CC BY-SA 3.0http://en.wiktionary.org/wiki/nonresponse • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/undercoverage • Wikipedia."Statistical population."CC BY-SA 3.0http://en.wikipedia.org/wiki/Statistical_population • Wiktionary."heterogeneous."CC BY-SA 3.0http://en.wiktionary.org/wiki/heterogeneous • Wiktionary."sample."CC BY-SA 3.0http://en.wiktionary.org/wiki/sample • Wikipedia."Sample (statistics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sample_(statistics) • Wiktionary."census."CC BY-SA 3.0http://en.wiktionary.org/wiki/census • Wiktionary."unbiased."CC BY-SA 3.0http://en.wiktionary.org/wiki/unbiased • Wiktionary."population."CC BY-SA 3.0http://en.wiktionary.org/wiki/population • Wikipedia."Sampling (statistics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_(statistics)%23Sampling_methods Free to share, print, make copies and changes. Get yours at www.boundless.com
Sampling • Wiktionary."cluster."CC BY-SA 3.0http://en.wiktionary.org/wiki/cluster • Wiktionary."population."CC BY-SA 3.0http://en.wiktionary.org/wiki/population • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/stratum • Wikipedia."Sampling (statistics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_(statistics)%23Probability_and_nonprobability_sampling • Wiktionary."nonresponse."CC BY-SA 3.0http://en.wiktionary.org/wiki/nonresponse • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/purposive-sampling • Wikipedia."Sampling (statistics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_(statistics) • Wiktionary."nonresponse."CC BY-SA 3.0http://en.wiktionary.org/wiki/nonresponse • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/undercoverage • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/response-bias • Wikipedia."Gallup (company)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Gallup_(company) • Wiktionary."Objective."CC BY-SA 3.0http://en.wiktionary.org/wiki/Objective • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/public-opinion-polls • Wikipedia."Opinion poll."CC BY-SA 3.0http://en.wikipedia.org/wiki/Opinion_poll • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/undercoverage • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/response-bias • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//statistics/definition/non-response-bias • Wikipedia."Sampling error."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_error • Wikipedia."Sampling bias."CC BY-SA 3.0http://en.wikipedia.org/wiki/Sampling_bias Free to share, print, make copies and changes. Get yours at www.boundless.com
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