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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


New View of Stats: Home
Sportscience: Home