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| New original approaches to statistics for researchers: the examples are taken from exercise and sport science, but the principles apply to all empirical sciences. Read more in the preface. |
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Full Contents Short Contents: Preface: About These Pages Summarizing Data Simple Statistics & Effect Statistics Dimension Reduction Precision of Measurement Generalizing to a Population Confidence Limits & Statistical Significance Statistical Models Estimating Sample Size Summary: The Most Important Points Quiz Reference: Hopkins, W. G. (2000). A new view of statistics. Internet Society for Sport Science: http://www.sportsci.org/resource/stats/. If you are viewing this page without a navigation/index frame on the left, click here.
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UPDATES 2005 June 25: Validity spreadsheet now has confidence limits for parameters of calibration equation. June 2: Corrected residuals in log section of validity spreadsheet. 2004 Aug 19: Info about generalized linear modeling for variables representing counts and proportions. 2003 Nov 1: Article and spreadsheets for analysis of straightforward controlled trials, crossovers, and time series. Oct 10: Adjustable level for confidence limits added to reliability and validity spreadsheets. June 25: Minor improvement to Mean ± SD or Mean ± SEM? June 15: Correcting change scores and other updates of regression to the mean. June 8: Slideshow on repeated measures. Tweaking of categorical modeling and most pages on repeated measures. New section on repeated measures with troublesome variables. Mar 9: More on uniformity of residuals, especially in complex models, and more on Cohen effects via rank transformation. Jan 31: Spreadsheet for assessing an individual now includes qualitative clinical chances. Jan 23: Confidence limits as ± and x/÷ added to spreadsheet. Jan 16: Minor tweaking of transformations for counts and proportions. Caution about back-transformed means. 2002 Dec 4: Clinical/practical significance updates of spreadsheet now complete. Nov 3: probabilities of clinical/practical significance added to spreadsheet. June 29: Clinical vs statistical significance: Powerpoint presentation and link to new article. June 4: Powerpoint presentation on covariates in repeated-measures analyses. Update of controlling for something, and a new section on mechanism variables and confounders. May 6: Clearer explanations of transformations for counts and proportions. Minor tweaking of scale of effect magnitudes. Apr 29: Regression to the mean. Apr 28: Confidence limits for relative risk and odds ratio included in spreadsheet. Mar 16: Corrected interpretation of odds ratio. 2001 Dec 28: Clinical vs statistical significance, and updated spreadsheet for likelihoods of clinically important effects. Aug 20: An exact new-prediction error to replace the PRESS-derived statistic; spreadsheets for validity studies and assessing an individual updated accordingly. Aug 5: Clarification of sample size based on confidence limits. Minor updates of sample size estimation and applications of reliability. Jun 4: Powerpoint presentation on reliability and some of its uses. Update of monitoring for a change in an individual. Update of spreadsheet for monitoring/assessing individuals, including (for what it's worth) Bayesian adjustment. Mar 26: More on degrees of freedom. Mar 3-4: Calculation of confidence limits and p values, including effects of violations of independence of observations, normality of sampling distribution, and uniformity of residuals. Definition of degrees of freedom. More on t tests with unequal variances. Substantial changes to log and rank transformation, and ordinal and count dependent variables. Mar 2: Simple way to estimate practice effect in a crossover. Mar 1: Variables representing counts. 2000 Dec 17-19: Counts and proportions as dependent variables, including binomial and Poisson regressions, square-root and arcsine-root transformations. Dec 10-11: Standardized regression coefficient. More on goodness of fit, t test, difference in means, relative frequency, polynomial coefficients and bad residuals. Dec 3-5: Use of ? and ׯ÷ with typical error. More on log transformation. Sept 11-12: More on using reliability to estimate sample size and assess an individual (plus an upgrade of the spreadsheet). Aug 11: Very cool Google search form added. Aug 4: Fixed missing-value bug in log plots in reliability spreadsheet. June 29: More on Type O error and one-tailed tests. June 24: Search form added. June 18: A reprieve for one-tailed tests, sort of. June 15-22: Major revisions/new pages for precision of measurement: measures of reliability, applications of reliability, measures of validity and applications of validity, plus a spreadsheet for precision of assessment of individuals. June 4: Update of validity, including an improvement on the PRESS statistic and a spreadsheet to analyze simple validity studies. Apr 15-18: Bayesian analysis, and definitions of probability. Mar 31: Type 0 error and cumulative Type 0 error. Mar 28: Update and simplification of reliability calculations, plus a spreadsheet! Mar 27: Update of sample-size estimation, and definition of concurrent reliability. Mar 26: Rewrite of confidence intervals and statistical significance, and a cool way to interpret the p value. Feb 7: Review of this site and other stats sites at BioMedNet. 1999 June 17: More on interpreting sex in a two-way ANOVA. New section on sex in repeated measures. May 27: Slideshow on confidence limits. May 22: New features in spreadsheet for confidence limits (ratio of standard deviations, and Tate & Klett adjustment for standard deviations). 1998 Dec 6: Tidy-up of reliability, reliability calculations, validity, and log transformation. Definition of covariance. Nov 20: Using the ± sign to represent a confidence interval. See the example. Sept 12: How to calculate confidence limits from a p value, and a downloadable spreadsheet to do it. June 15: Updated Proc Mixed and added individual differences, and covariates. June 14: Plain-language definitions of confidence interval and statistical significance. May 11: Using proc mixed in SAS for repeated measures. Mar 29: Swapped axes in validity figure. (Silly mistake!) Mar 12: Note about checking the fit of non-linear models. Mar 8: Major revision of validity to give equal emphasis to systematic offset, standard deviation of the estimate, and validity correlation. Mar 8: Figure to show why not to use SEMs. Feb 19: Warning about specifying complex covariance structures with multiple crossovers. Jan 15: Reliability completely revised to give equal emphasis to shift in the mean, within-subject variation, and retest correlation. Minor changes to related pages. Spreadsheet for confidence intervals for reliability also now available. 1997 Nov 28: Latin squares to assign subjects in multiple crossovers. Nov 18: Multiple crossovers for experiments with several treatments. Nov 17: A small change in the way of representing the subject effect in repeated-measures models. Sept 8: How to analyze crossovers to account for any learning effect. Sept 7: Random vs fixed effects explained. Sept 5: Better explanations for calculating estimates and contrasts in various models. 12 June: Multiple linear regression improved. 10 June: Substantial revision of a scale of magnitudes for effect statistics. 06 June: Reworked sample size for complex cross-sectional studies. 05 June: Made p values and type II errors more understandable. 04 June: Sample size with more than one independent variable. 02 June: Major additions to Sample Size "On The Fly", including simulation programs. 28 May: Sample-size formula corrected to 2N(1 - r). 14 May: Sample-size estimation expanded. 13 May: Bootstrapping expanded. 13 May: Argument against adjusting confidence intervals and p values when reporting several effects. کلید واژه : آمار ، مقالات ، انگلیسی ،مظالب
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