statistics books

A New View of Statistics	© 2001 Will G Hopkins
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CONTENTS

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Items on the same line or separated by dots · are on the same page.
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Summarizing Data
    Simple Statistics & Effect Statistics
        Basics

Data and Variables · Frequency Distributions · Probability · Statistics

        Simple Statistics

The Middle · The Spread Standard Deviation Root Mean Square Error (RMSE) Standard Error of the Estimate (SEE) Percentile Ranges

        Effect Statistics

Difference in Means Correlation Coefficient Relative Frequency A Scale of Magnitudes

    Dimension Reduction
        Principal Components · Factor Analysis · Cluster Analysis
    Precision of Measurement
        Measures of Reliability

Shift in the Mean · Within-Subject Variation ·  Retest Correlation · Kappa Coefficient · Alpha Reliability

        Applications of Reliability

Sample Size for an Experiment · Individual Responses · Assessing an Individual · Spreadsheet for Assessing an Individual · Comparing Reliability of Measures · Sample Sizes for Reliability Studies

        Reliability: Calculations

Introduction ·  Two Trials ·  Three or More Trials · Non-Uniform Error · Modeling Variances for Reliability · Biased Estimated of Reliability · Spreadsheet for Calculating Reliability

        Measures of Validity

Introduction · Estimation Equation · Typical Error of Estimate · Correlation · Nominal Variables · Spreadsheet for Calculating Validity

        Applications of Validity

Sample Size for a Cross-sectional Study · Assessing an Individual · Comparing Validity of Measures · Validity for Monitoring Changes · Sample Size for Validity Studies

       How Many Digits?
       Mean ± SD or Mean ± SEM?
 
Generalizing to a Population
    Confidence Limits
        Generalizing via Confidence Limits

Introduction · An Example · Effect of Sample Size on Confidence Interval · Confidence Interval and Statistical Significance · A Spreadsheet for Confidence Intervals · Bootstrapping · Meta-Analysis · Bayesian Analysis

        P Values and Statistical Significance

What is a P Value? · Test Statistics · P Values and Confidence Intervals · Confidence Limits from a P Value · One Tail or Two? · Why 0.05? · Hypothesis Testing · Using P Values

        Getting It Wrong

Type I Error · Type II Error · Bias · Slideshow

    Statistical Models
        What is a Model?
        Simple Models and Tests

Linear Regression T Test and One-Way ANOVA Contingency Table Categorical Modeling

        Models: Important Details

How a Stats Program Fits a Model · Parameters · Residuals · Goodness of Fit · Calculation of Confidence Limits · Independence of Observations · Normality of Sampling Distribution · Uniformity of Residuals · Uniformity of Residuals in Complex Models Log Transformation for Better Fits · Percent Effects · More Examples Non-Parametric Models: Rank Transformation Ordinal Dependent Variables Counts and Proportions as Dependent Variables · Binomial and Poisson Regression · Square-root and Arcsine-root Transformation Linear and Non-Linear Models

        Complex Models

More Than One Independent Variable · Controlling for Something · Interactions Analysis of Covariance (ANCOVA) Multiple Linear Regression · Stepwise Regression Polynomial Regression Two-Way ANOVA More Than One Dependent Variable · Variables of Uncertain Status

        Repeated-Measures ANOVA

Paired T Test: Two trials and no between-subjects effect Two trials plus a between-subjects effect · Simple crossovers Three or more trials and no between-subjects effect Three or more trials plus a between-subjects effect · Multiple crossovers Other Repeated-Measures Models Proc Mixed for Repeated Measures Regression to the Mean

    Estimating Sample Size
        The Right Number of Subjects
        What Determines Sample Size
        Sample Size Based on Confidence Limits
        Sample Size "On The Fly"
        On the Fly for Correlations
        On the Fly for Differences Between Means
        On the Fly for Differences Between Frequencies
        On the Fly: Miscellaneous

Other Designs · On the Fly for the Ethical Committee · Do NOT Fly with Statistical Significance · Spreadsheet

        Simulation for Sample Size

Steps in the Process · Cross-Sectional Study · Longitudinal Study

 
Summary: The Most Important Points
Quiz

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