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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 Become a license holder 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
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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