Showing papers by "T. W. Anderson published in 1997"
01 Jan 1997
TL;DR: SPSS as discussed by the authors is a tool for statistical analysis of multivariate data, and it can be used to find associations between Categorical Variables and Numerical Variables.
Abstract: I: Introduction.- 1 The Nature of SPSS.- 1.1 Getting Started with SPSS for Windows.- 1.2 Managing Data and Files.- 1.3 Transforming Variables and Data Files.- 1.4 Examining and Printing Output.- 1.5 Missing Values.- Exercises.- II: Descriptive Statistics.- 2 Organization of Data.- 2.2 Organization of Categorical Data.- 2.3 Organization of Numerical Data.- Exercises.- Appendix II: SPSS Syntax for Organization of Data.- 3 Measures of Location.- 3.1 The Mode.- 3.2 The Median and Other Percentiles.- 3.3 The Mean.- Exercises.- Appendix III: SPSS Syntax for Measures of Location.- 4 Measures of Variability.- 4.1 Ranges.- 4.2 The Mean Deviation.- 4.3 The Standard Deviation.- 4.5 Some Uses of Location and Dispersion Measures Together.- Exercises.- Appendix IV: SPSS Syntax for Measures of Variability.- 5 Summarizing Multivariate Data: Association Between Numerical Variables.- 5.1 Association of Two Numerical Variables.- 5.2 More than Two Variables.- Exercises.- Appendix V: SPSS Syntax for Summarizing Multivariate Data: Association Between Numerical Variables.- 6 Summarizing Multivariate Data: Association Between Categorical Variables.- 6.1 Two-by-Two Frequency Tables.- 6.2 Larger Two-Way Frequency Tables.- 6.3 Three Categorical Variables.- 6.4 Effects of a Third Variable.- Exercises.- Appendix VI: SPSS Syntax for Summarizing Multivariate Data: Association Between Categorical Variables.- III: Probability.- 7 Basic Ideas of Probability.- 7.3 Probability in Terms of Equally Likely Cases.- 7.8 Random Sampling Random Numbers.- Exercises.- Appendix VII: SPSS Syntax for Basic Ideas of Probability.- 8 Probability Distributions.- 8.5 Family of Standard Normal Distributions.- Exercises.- Appendix VIII: SPSS Syntax for Probability Distributions.- 9 Sampling Distributions.- 9.1 Sampling from a Population.- 9.2 Sampling Distribution of a Sum and of a Mean.- 9.5 The Normal Distribution of Sample Means.- Exercises.- IV: Statistical Inference.- 10 Using a Sample to Estimate Characteristics of One Population.- 10.1 Estimation of a Mean by a Single Number.- 10.2 Estimation of Variance and Standard Deviation.- 10.3 An Interval of Plausible Values for a Mean.- 10.4 Estimation of a Proportion.- 10.5 Estimation of a Median.- 10.6 Paired Measurements.- Exercises.- Appendix X: SPSS Syntax for Using a Sample to Estimate Characteristics of One Population.- 11 Answering Questions About Population Characteristics.- 11.1 Testing a Hypothesis About a Mean.- 11.3 Testing Hypotheses About a Mean when the Standard Deviation is Unknown.- 11.4 P Values: Another Way to Report Tests of Significance.- 11.5 Testing Hypotheses About a Proportion.- 11.6 Testing Hypotheses About a Median: The Sign Test.- 11.7 Paired Measurements.- Exercises.- Appendix XI: SPSS Syntax for Answering Questions About Population Characteristics.- 12 Differences Between Two Populations.- 12.1 Comparison of Two Independent Sample Means when the Population Standard Deviations are Known.- 12.2 Comparison of Two Independent Sample Means when the Population Standard Deviations are Unknown but Treated as Equal.- 12.3 Comparison of Two Independent Sample Means when the Population Standard Deviations are Unknown and not Treated as Equal.- 12.4 Comparison of Two Independent Sample Proportions.- 12.5 The Sign Test for a Difference in Locations.- Exercises.- Appendix XII: SPSS Syntax for Differences Between Two Populations.- 13 Variability in One Population and in Two Populations.- 13.1 Variability in One Population.- 13.2 Variability in Two Populations.- Exercises.- Appendix XIII: SPSS Syntax for Variability in One Population and in Two Populations.- V: Statistical Methods for Other Problems.- 14 Inference on Categorical Data.- 14.1 Tests of Goodness of Fit.- 14.2 Chi-Square Tests of Independence.- 14.3 Measures of Association.- Exercises.- Appendix XIV: SPSS Syntax for Inference on Categorical Data.- 15 Simple Regression Analysis.- 15.1 The Scatter Plot and Correlation Coefficient.- 15.2 SPSS for Simple Regression Analysis.- 15.3 Another Example: Inverse Association of x and y.- Exercises.- Appendix XV: SPSS Syntax for Simple Regression Analysis.- 16 Comparisons of Several Populations.- 16.1 One-Way Analysis of Variance.- 16.2 Which Groups Differ from Which, and by How Much?.- 16.3 Analysis of Variance of Ranks.- Exercises.- Appendix XVI: SPSS Syntax for Comparisons of Several Populations.- Appendix Data Files.
22 citations
TL;DR: In this article, an exposition of Brownian motion and the Brownian bridge, both continuous and discrete, is given, and representations of the processes, in terms of weighted standard normal variable, are given.
18 citations
TL;DR: Goodness-of-fit tests for autoregressive processes can be based on the difference between the empirical standardized spectral distribution of an observed time series and the standardized spectral distribution with parameters estimated from the series.
Abstract: Goodness-of-fit tests for autoregressive processes can be based on the difference betwe en the empirical standardized spectral distribution of an observed time series and the standardized spectral distribution of the autoregressive process with parameters estimated from the series. The asymptotic covariance function of this difference, considered as a stochastic process on [0, π], is found. Methods to compute the asymptotic distribution of the Cramer--von Mises statistic are given.
16 citations