About These Pages
Alpha Reliability
ANCOVA (Analysis of Covariance)
ANOVA (Analysis of Variance)
   One·Way
   Two·Way
   Repeated Measures
Arcsine-root Transformation
Assessing an Individual (using reliability)

Bayesian analysis
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Between-subject variation
Bias
Binomial regression
Bonferroni adjustment
Bootstrapping

Calibration equation
Categorical modeling
Central limit theorem
Chi-squared test
Clinical significance
Cluster analysis
Coefficient of variation
   Defined
   Measure of reliability
   from log-transformed data
   Use of ± and ×/÷
Complex Models
Confidence limits/Interval
   Calculations: assumptions
   of Correlation
   Defined
   of Effect Size (long, pop SD)
   of Effect Size (long, sample SD)
   of Effect Size (x·sect)
   Example
   Effect of Sample Size
   of Frequency Difference
   of Goodness·of·Fit
   from a P Value
   Powerpoint Presentation
   Spreadsheet
   Statistical Significance
Contingency Table
Contrasts: see Estimates
Controlled trial
Confounders
Controlling for something
Controlling Type I Error
Correlation Coefficient
Counts as dependent variable
Covariance Defined
Covariates in repeated measures
Crossovers
   Simple
   Multiple
Cumulative Type I and 0 error

Data and variables
Degrees of freedom
Dimension reduction
Discriminant function analysis
Distributions
   Binomial
   Frequency
   Normal
   Poisson
   Probability

Effect statistics
   Correlation coefficient
   Defined
   Difference in means
   Effect-size statistic
      and non-parametric analysis
   Magnitudes
   Probability of superiority
   Relative frequency
Error
   Non-uniform error
   Precision of estimation
   Precision of measurement
   RMSE (root mean square error)
   Type 0
   Type I
   Typical (standard) error of estimate
   Typical (standard) error of measurement
   Type II
Estimates or Contrasts
   in 1-Way Anova
   in RM·ANOVA
Estimating Sample Size
   See Sample·Size Estimation

Factor Analysis
Fisher z Transformation
   Bootstrapping Confidence Limits
   Confidence Limits of r
Fitting Models
   Non·linear
   Polynomials
Fixed vs random effects
Frequency Distributions

Generalizing to a Population
Generalizing via Confidence Limits
Getting It Wrong
Goodness of Fit
Group·Sequential Design
   see Sample·Size On The Fly

Heteroscedasticity
Home Page
How a Stats Program Fits a Model
How Many Digits?
Hypothesis Testing

Independence
Individual responses
   in slideshow on repeated measures
   via Mixed Modeling
   via Analysis of Reliability
Inferences: see article
Inflation of Type 0 and I Error
Interactions

Kappa Coefficient
   Goodness of Fit
   Measure of Reliability

Latin Squares
Least·Squares Means
Likert scales: analysis
Likert scales: ordinal variables
Limits of Agreement
Linear and Non·Linear Models
Linear Regression
   Goodness of Fit
   Slope
LISREL
Log Transformation
Logistic Regression

Magnitudes for Effect Statistics
MANOVA (Multivariate ANOVA)
Mean ± SD or Mean ± SEM?
Mechanism variables
   with repeated measures
Meta·Analysis
Middle of Data
Mixed Modeling
Modeling Covariances
Models and Tests
   Bad Residuals
   Calculating confidence limits
   Categorical Modeling
   Chi-squared test
   Complex Models
   Details
   Fitting a Model
   Goodness of Fit
   Linear Regression
   Mixed Modeling
   Mixed Modeling: Proc Mixed
   >1 Independent Variable
   >1 Dependent Variable
   Non·Parametric
   One vs two·tailed
   Paired T Test
   Parameters
   Repeated Measures
   Residuals
   Simple Models
   Unpaired T Test and One·Way ANOVA
   Variables of Uncertain Status
   Within-Subject Modeling
Multiple Linear Regression

New-prediction error
Non·linear and linear models
Non-uniform error
Non·parametric models
Normality of sampling distribution
Normality of residuals
Null value
   in sample-size estimation
Number of Subjects

Odds
Odds ratio
One-way ANOVA
Ordinal dependent variables

P Values
   and Confidence Intervals
   Statistical Significance
   P<0.05?
   Using them
Paired T Test
Parameters
Path Analysis
Percentile Ranges
Placebo
Polynomial Contrasts
Polynomial Regression
Polynomials: Non·linear Models
Population
Post-hoc vs Pre-planned Tests
Power
Powerpoint Presentations
   Analysis of Repeated Measures
   Confidence Limits
   Covariates in Repeated Measures
   Reliability
   Statistical vs Clinical Significance
Precision of estimation
Precision of Individual's Value
   via Reliability
   via Validity
Precision of Measurement
Predicting with a line
Predicted Values
Pre-planned vs Post-hoc Tests
PRESS statistic
Principal Components
Probability
Probability of Superiority
Proc Mixed
Proportions as Dependent Variable

Quiz

Random vs Fixed Effects
Rank Transformation
Regression to the mean
Relative Frequency
Reliability
    Applications
      Assessing an Individual
      Comparing Rely of Measures
      Individual Responses
      Sample Size for an Experiment
   Biased Estimates
   Biological Variation
   Calculations
   Change in the Mean
   Coefficient of Variation
   Concurrent
   Correlation
   Defined
   Design of Rely Studies
   Limits of agreement
   Modeling Variances
   Nominal Variables
   Powerpoint Presentation
   Retest Correlation
   Sample Size for Rely Studies
   Spreadsheet
   Standard Error of Measurement
   Technological Error
   Total Error
   Typical Error of Measurement
   Within·Subject Variation
Repeated·Measures
   Article on controlled trials and crossovers
   Covariates
   Crossovers
   Polynomial Contrasts
   Two trials no bet·subj effect
   Two trials + bet·subj effect
   >Two trials no bet·subj effect
   >Two trials + bet·subj effect
   Mixed Modeling
   Other
   Spreadsheets for analysis
   Troublesome variables
   Using Proc Mixed
   Within-Subject Modeling
Resampling
Research Designs
   Cross·Sectional vs Longitudinal
   Sample Size Cross·Sectional
   Sample Size Longitudinal
Residuals
Residuals: uniformity
Residuals: Bad
RMSE (Root Mean Square Error)
R·squared: see Variance explained

Sample·Size Estimation
   Article in Sportscience 2006
   Based on Reliability Study
   Based on Confidence Limits
   Complex Cross·Sectional Studies
   Cross·Sectional Studies
   Formulae
   Longitudinal Designs
   "On The Fly"
      Correlations
      Ethics
      Frequencies
      Means
      Other Designs
      Statistical Significance
   Overview
   for Reliability Studies
   by Simulation
   Spreadsheet
   Traditional Approach
Sampling distribution
Scale of Magnitudes
SD vsSEM
Search form
SEE
Sensitivity
Simple Models and Tests
Simple Statistics
Simulation for Sample Size
   Cross·Sectional Study
   Longitudinal Study
Slide shows
   See Powerpoint Presentations
Solution for a Model
Specificity
Spread of data
Spreadsheets for
   Analyzing repeated-measures trials
   Assessing an individual
   Combining group stats: see article
   Confidence limits and inferences
   Controlled trials: see article
   Reliability
   Sample-size estimation: see article
   Validity
Standard deviation
Standard deviaiton vs standard error of the mean
Standard error of estimate
   Measure of Validity
Standard error of measurement
Standardized regression coefficient
Statistical significance
   Confidence limits
   P values
   vs clinical significance
Statistics
   Simple
   Effect
   Test
Stepwise regression
   Sample size
Structural equation modeling
Summarizing data
Summary: most important points

T test and one·way ANOVA
T test with unequal variances
T test: article and spreadsheets
Test statistics
Tests: see Models and tests
Transformation
   Arcsine-root
   Defined
   Fisher z
   Log
   Rank
   Square root
Two-way ANOVA
Type 0 error
Type I error
Type II error
Typical error of estimate
Typical Error of Measurement

Uniformity of residuals
   in complex models
   and transformations
Unpaired t test
Unpaired ttest with unequal variances

Validity
   Applications
      Assessing an individual
      Comparing validity of measures
      Sample size for Xsect study
      Sample size for validity study
      Validity for monitoring changes
   Correlation
   Defined
   Estimation equation
   Nominal variables
   PRESS statistic
   Spreadsheet
   Square root of reliability
   Surrogate variables
   Systematic offset
   Typical error of estimate
Variables
   Basics
   Dependent vs predictor
Variance explained
   and correlation coefficient
   Goodness of fit
   Scale of effect magnitudes
Within-subject modeling
Within-subject variation
   Measure of reliability

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