這是Will G
Hopkins博士在2000年建立之網站,雖然作者自述是為了“Sport
and exercise sciences”建立的網站,但是其他領域也有無限的價值。
網站內容十分豐富。
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、NonUniform 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
TableCategorical
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
在學術著作中,如果引用網站資料,參考文獻引注如下:
Hopkins W.G. (2000).
A New View of Statistics,
http://newstatsi.org. Accessed day, month, year.
如果是網站內特定內容,參考文獻引注如下,
Hopkins W.G. (2003).
Bayesian analysis. In: A New View of Statistics,
http://newstatsi.org/generalize.html#Bayes. Accessed day,
month, years.
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