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AuthorPeters, William S. author
TitleCounting for Something [electronic resource] : Statistical Principles and Personalities / by William S. Peters
ImprintNew York, NY : Springer New York : Imprint: Springer, 1987
Connect tohttp://dx.doi.org/10.1007/978-1-4612-4638-1
Descript XVIII, 275 p. online resource

CONTENT

1 Statisticsโ{128}{148}The Word -- Descriptive Statistics -- Inferential Statistics -- References -- 2 Distributions -- The Frequency Distribution -- Summary Measures -- Graphs -- References -- 3 Special Averages -- Index Numbers -- Some History -- The Harmonic Mean -- Averaging Time Rates -- Simpsonโ{128}{153}s Paradox -- References -- 4 Making Comparisons -- Comparing Observations -- Standard Scores -- Comparing Variables -- Median and Quartiles -- Boxplots -- Ordinal Data -- The Dollar Scale -- References -- 5 Probability -- Laplaoeโ{128}{153}s Principles of Probability -- Counting the Ways -- Poker Hands -- The Birthday Problem -- Probability in Court -- Which Question Was That? -- References -- 6 Craps and Binomial -- Probabilities for Craps -- The Binomial Distribution -- Inference from the Binomial -- Interval Estimates -- References -- 7 Horsekicks, Deadly Quarrels, and Flying Bombs -- The Poisson Distribution -- The Exponential Distribution -- A Problem of Authorship -- References -- 8 Normal Distribution -- The Standard Normal Distribution -- Probability Distribution of the Sample Mean -- Process Control Chart -- The Central Limit Theorem -- References -- 9 Political Arithmetic -- Beginnings in England -- America to 1790 -- The United States, 1790โ{128}{147}1900 -- Statistics and Social Issues -- 1900โ{128}{147}1950 -- Since 1950 -- References -- 10 Regression and Correlation -- The Regression Line -- Variation from Regression -- Correlation and Gallon -- References -- 11 Karl Pearson -- Karl Pearsonโ{128}{148}to 1901 -- Chi-Square Goodness-of-Fit Test -- Karl Pearsonโ{128}{148}from 1901 -- References -- 12 Pearson to Cosset to Fisher -- William S. Gosset (Student) -- Ronald A. Fisher -- Using the t-Distribution -- References -- 13 More Regression -- Standard Error of the Regression Coefficient -- Transformations -- Multiple Regression and Correlation -- History and Applications -- References -- 14 R. A. Fisher -- The Analysis of Variance -- R. A. Fisherโ{128}{148}from 1925 -- Experimental Design -- Postscript -- References -- 15 Sampling: Polls and Surveys -- Proportions -- Coefficient of Variation -- Random Numbers -- Sampling Methods -- Election Polls -- Estimating Sample Size -- A National Sample -- References -- 16 Quality Control -- Quality Control to 1930 -- Sampling Inspection -- The 1930s -- QC Goes to War -- Sequential Sampling -- Post-World War and Today -- References -- 17 Principal Components and Factor Analysis -- The Principal Component -- General Intelligence -- Criticism -- Ways of Lifeโ{128}{148}An Example -- Factor Rotation -- Semantic Analysis of the Ways -- A Three-Dimensional Map -- References -- 18 Jerzy Neyman -- E. S. Pearson to Gosset to Neyman -- Neyman-Pearson Tests -- The Power of a Test -- Confidence Intervals -- Statistical Issues and Personalities of the 1930s -- Neyman in America -- References -- 19 The Bayesian Bandwagon -- Utility -- Utility After Bernoulli -- Bayesโ{128}{153} Theorem -- The Value of Information -- Break-Even Problems -- Bayesian Estimationโ{128}{148}The Newsboy Problem -- Subjective Probability -- Assessing Subjective Probabilities -- Bayesian Statistics -- References -- 20 Observational Studies and Program Evaluation -- The Language of Cause -- Rival Explanations -- Analytical Control -- Auto Death Rates and Safety Inspections -- Systems of Relationships -- Discriminant Analysis -- A Discriminant Analysis of Selection Factors -- Evaluation and Controlled Experimentation -- References -- 21 Nonparametrics and Robust Methods -- The Wilcoxon Signed-Rank Test -- Robustness and Studentโ{128}{153}s t -- Robust Estimation -- The Jacknife -- Exploratory Data Analysis -- References -- 22 Statisticsโ{128}{148}A Summing Up -- References -- List of Names


Mathematics Applied mathematics Engineering mathematics Probabilities Mathematics Probability Theory and Stochastic Processes Applications of Mathematics



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