Help for Statistics Help Dissertation Statistical Analysis Help For Statistics

Links updated October 16, 2008

Statistical Methods

Online Data Analysis

Nonparametric Tests

Quantitative Analysis

 

Research

Statistics Tutorials and Resources

Research Randomizer

Methods of Psychological Research

On Being a Scientists: Responsible Conduct in Research

Research Design Explained

Introduction to Descriptive Statistics

Web Center for Social Research Methods (Cornell University)

Research Methods and Statistics Links (Social Psychology Network)

Textbooks on Conducting Research (Social Psychology Network)

Methods in Behavioral Research (extensive compendium of links)

Research Methods (Wikipedia category with dozens of entries)

Psychological Research on the Net

Mark Mitchell's Class Notes -Research Methodology notes from his Introductory Psychology class online for your benefit.

Research Methods by Dr. Paul Cozby - Research methodology in Psychology.

Introduction to Descriptive Statistics - University of Illinois, Urbana-Champagne.

Symbols in Statistics

Free statistical software packages

Online statistics textbooks, reference manuals, and journals

Interactive statistical demonstrations and tutorials

Glossary of statistical terms

Population Genetics

How to Conduct Online Research:

  • Introduction to Behavioral Research on the Internet (detailed e-text)
  • Guide to Running Surveys and Experiments on the Web (overview)
  • Psychological Research Online (American Psychological Assn. report)
  • Advisory Group on Conducting Research on the Internet (APA body)
  • Web-Based Data Collection Services:

  • Time-Sharing Experiments for the Social Sciences (free; NSF-supported)
  • SurveyMonkey (popular web data collection service; short surveys free)
  • Surveyz.com (online survey building and data collection)
  • PsychData (specializing in social science research)
  • QuestionPro.com (service for building and analyzing online surveys)
  • ZipSurvey (web survey application developed by I/O psychologists)
  • Choosing the Right Tests:

    Statistical Decision Tree, from the developers of the MicrOsiris package. This is an interactive set of web pages to help you select the right kind of analysis to perform on your data. It asks you a simple series of questions about your data (how many variables, etc.), then makes recommendations about the best test to perform.

    Choosing a Statistical Test, Chapter 37 of Dr. Harvey Motulsky's book Intuitive Biotatistics

    "Selecting Statistics", by Bill Trochim (Cornell). Another  interactive set of web pages to help you select the right kind of analysis to perform on your data.

    Test-selection routine 

    Hyperstat Online Textbook:

  • Introduction to Statistics
  • Describing Univariate Data
  • Describing Bivariate Data
  • Introduction to Probability
  • Normal Distribution
  • Sampling Distributions
  • Point Estimation
  • Confidence Intervals
  • The Logic of Hypothesis Testing
  • Testing Hypotheses with Standard Errors
  • Power
  • Introduction to Between-Subjects ANOVA
  • Factorial Between-Subjects ANOVA
  • Within-Subjects/Repeated Measures ANOVA
  • Prediction
  • Chi Square
  • Distribution-Free Tests
  • Measuring Effect Size
  • Choosing the Right Tests

  • StatiBot
  • Intuitive Biostatistics: Choosing a Statistical Test.
  • Calculators, Plotters, Function Integrators, and Interactive Programming Environments

  • The WebMath page
  • Scientific Calculator (numeric expression evaluator)
  • A simple 5-function calculator, with memory
  • Indefinite Integrals -- using the Mathematica engine
  • Rweb
  • Evaluates various sums, cross-products, and other "building block" expressions that arise in statistical formulas
  • A simple 5-function calculator, with memory
  • CoCalc -- an advanced RPN scientific calculator from CoHort Software. Has log, trig, boolean, binary/hex, and basic statistics functions. Implemented as a Java applet, so it can be run from the Web or stored on your computer for "offline" running when not connected to the Web. Also available in a larger-font version.
  • Links to Other Online Calculators, and calculator-related resources, from Essential Links (el.com).
  • Scientific Calculator (numeric expression evaluator)
  • SHAZAM econometricians software
  • Mx  -- a matrix algebra interpreter and numerical optimizer for exploration of matrix algebra.
  • Function plotter -- Lets you zoom in and out to view any portion of the graph. (Needs Java.)
  • Function plotter -- Plot almost any function or relation found in high school and undergraduate college mathematics. Plots functions of the form y = f(x), such as y = x2 or y = 3x + 1, or relations of the form f(x,y) = g(x,y), such as x2 + y2 = 4. (No Java needed.)
  • Linear Programming Grapher-- Enter a linear function of two variables to be minimized, and any number of linear inequality expressions, and the page will instantly solve it and display a graph showing the feasible region and the constraints.
  • Simplex Tool -- Similar to the Linear Programming Grapher, but works with functions of more than two variables, and doesn't graph the results.
  • Probability Distribution Functions: Tables, Graphs, Random Number Generators

  • Calculate tail areas and left-integrals
  • Compute probabilities for the four most common probability distributions

  • Normal, t, Chi-Square, and Binomial (density and cumulative) probabilities
  • Central and tail areas for Normal, Student, F, Chi-Square, Binomial, and Poisson distributions
  • Statistical probability distribution functions: Normal, Student t, Chi-Square, Fisher F
  • Reverse computations
  • Normal distribution areas, with nice graphical interpretations
  • A very attractive page for Normal distribution (and inverse), with detailed explanations
  • Normal area (1-tailed)
  • Cumulative area under the normal curve (integral from minus infinity to z)
  • Chi-Square probabilities, and reverse, with a detailed explanation
  • Probabilities for the Fisher F distribution
  • Another Fisher F distribution p-value calculator.
  • Critical Fisher F value, given the alpha level, the numerator and denominator d.f.
  • Non-central F value (by Laubscher's square root approximation), given the F-value, numerator and denominator d.f., and the noncentrality parameter.
  • Binomial, Poisson and Gaussian distribution probabilities
  • Binomial probability calculator
  • Cumulative frequency for the Binomial distribution
  • Probabilities for Gamma, complete Beta, and Incomplete Beta distributions
  • Compute probabilities for a specific distributions

  • Normal distribution areas, with nice graphical interpretations
  • A very attractive page for Normal distribution (and inverse), with detailed explanations
  • Normal area (1-tailed)
  • Chi-Square probabilities, and reverse, with a detailed explanation
  • Chi Square probabilities and reverse
  • Chi-Square Distribution
  • Chi-Square Distribution
  • Student t Distribution
  • Probabilities for the Fisher F distribution
  • Binomial probability calculator
  • Cumulative frequency for the Binomial distribution
  • Probabilities for Gamma, complete Beta, and Incomplete Beta distributions
  • Random Number Generators

  • Random integers
  • Random fractional numbers
  • Another random permutation generator
  • Research Randomizer
  • Block Randomizer
  • Histogram from a set of numbers
  • Compute and plot a Kernel Density Estimate
  • Compute Poisson change-point
  • Confidence Intervals, Single-Population Tests, Measurement Errors

  • Confidence Intervals...
  • Single-Population Tests...
  • Chi-Square "Goodness of Fit" test for observed vs expected counts
  • Measurement Errors and Error Propagation...
  • Tolerance Intervals

  • Tolerance Intervals for the Normal Distribution. (Don't confuse tolerance intervals with confidence intervals!) A tolerance interval for a measured quantity is the interval in which there is a specified likelihood that a specified fraction of the population's values lie.
  • Sample Comparisons: t-Tests, ANOVAs, Non-parametric Comparisons

  • Student t-test (for comparing two samples)...
  • ANOVA (Analysis of Variance)
  • Non-parametric tests (use these when the data is not normally distributed)...
  • Comparison of proportions between two groups...
  • Sequential Analysis
  • Single-Population Tests...

    Contingency Tables, Cross-tabs, Chi-Square Tests

  • Chi-Square tests...
  • Three-dimensional Tables (2x2x2)...
  • Fisher Exact tests for contingency tables...
  • Contingency table for sequenced categories (Ordinal by Ordinal, 5-by-5 table or less)  
  • Contingency table for sequenced categories, 5-by-2 table, with exact probability calculations  
  • Spearman's correlation from cross-tabbed data with sequenced row and column categories
  • McNemar's test for paired contingency tables
  • Comparison of ratings or rankings by different raters...
  • Chi-Square test for equality of distributions
  • Chi-Square "Goodness of Fit" test for observed vs expected counts
  • Regression, Correlation, Least Squares Curve-fitting, Non-parametric Correlation

  • Straight Lines and Correlation Coefficients...
  • Correlation Tests.

    Beyond Simple 2-parameter Curve-fitting...

  • Analysis of Survival Data

  • Cox Proportional Hazards Survival Regression Analysis  
  • A faster version of Cox Proportional Hazards Analysis  
  • Comparison of Two Survival Distributions
  • Bayesian Methods

  • Bayes' theorem calculations
  • Bayesian calculations for diagnostic tests
  • Sequential Experimental Design for testing the probability ratios  
  • 2-by-2 table analysis (Chi-Square, sensitivity, odds ratio, relative risk, etc. with confidence intervals  
  • for 2-by-2 table, with odds ratio, relative risk, etc. with confidence intervals 
  • Wald's Sequential Probability Ratios
  • Other Statistical Tests and Analyses

  • Bonferroni adjustment of critical p-values when performing multiple comparisons (has an excellent discussion of this topic)
  • Detect Outliers
  • Selection Bias Calculator for Prevalence Estimates  
  • Misclassification Bias in Prevalence Studies  
  • Selection Bias in Case-control Studies  
  • Specialized and Discipline-Specific Tests and Analyses
  • Biostatistical Calculators...
  • Item Analysis -- for multiple choice questionnaires
  • Investment Derivative Calculations
  • Power, Sample Size and Experimental Design Calculations

  • Comparing a mean to a specified value   (also available at another website)
  • Comparing a proportion to a specified value
  • Comparing a proportion to a specified value   (also available at another website)
  • Sample size and 95% confidence interval for a variable, knowing the population standard deviation
  • Sample size required for specified precision of a proportion
  • Another sample-size for specified precision of a proportion
  • Difference between two proportions...
  • Sample size needed for comparison of 2 or more groups
  • Sample size computation for multiple comparisons  Descriptive Statistics, Histograms, Charts
  • Statiscope -- a beautifully-implemented page for calculating and displaying a large number of descriptive statistics from a set of numbers you enter
  • WebStat (an integrated applet) can generate summary statistics, as well as histograms, stem and leaf plots, boxplots, dotplots, parallel coordinate plots, means plots, scatterplots, QQ plots, and time series plots
  • Descriptive Sampling Statistics -- Enter up to 80 numbers; this page will calculate the mean, variance, SD, CV, skewness and kurtosis.
  • Descriptive statistics (mean, SD, SEM, and CI of mean). Can enter or paste raw data, or enter mean, SD or SEM, and N to get CI.
  • Descriptive Statistics -- Enter up to 80 values; page calculates: N, mean, variance, SD, CV, skewness, kurtosis, SEM, median, min, max, range, 1st & 3rd quartiles, interquartile range, quartile deviation, coeff of quartile var, and absolute deviation.
  • Measuring for Accuracy -- Given a set of observed and predicted values, this page calculates the SD of errors, mean absolute & relative error, and Durbin-Watson statistic.
  • Arithmetic, Geometric, and Harmonic Means -- of up to 80 values.
  • Basic descriptive statistics (mean, sum of squares, variance, standard deviation, minimum, 25th percentile, median, 75th percentile, and maximum for up to 500 numbers
  • Empirical Distribution Function -- from up to 42 sets of [value, frequency].
  • Multinomial Distributions -- Enter up to 12 values and their corresponding probabilities, and this page will calculate Expected Value, Variance, Standard Deviation, & Coefficient of Variation
  • Paired Data Sets Statistics -- Enter up to 28 sample paired data sets, and this page will calculate means, variances, and covariance 
  • Histogram -- Enter up to 80 numbers, and this page will display a histogram. 
  • Histogram from a set of numbers, lets you dynamically alter the interval width and see the effect immediately
  • Mathematical Statistics

    Lecture Notes

  • Lecture 2: Probability Axioms.
  • Lecture 3: Combinatorics.
  • Lecture 4: Independence.
  • Lecture 5: Conditional Probability.
  • Lecture 6: Random Variables, Expectation and Variance.
  • Lecture 7: Important Discrete Random Variables
  • Lecture 8: Distribution Functions
  • Lecture 9: Random Variables with densities.
  • Lecture 10: Some special densities
  • Lecture 11: Random samples
  • Lecture 12: Statistics and functions of randoom variables.
  • Lecture 13: Markov's inequality and Chebychev's inequality.
  • Lecture 14: Functions of random variables continued.
  • Lecture 15: Transformations of vector valued random variables.
  • Some facts about matrices
  • Lecture 16: Student's t statistic.
  • Lecture 17: Limiting Distributions.
  • Lecture 18: Laws of Large Numbers.
  • Lecture 19: Multivariate Normal Distribution.
  • Lecture 20: Covariance and Correlation Coefficients.
  • Lecture 21: Conditional Distributions
  • Lecture 22: Basics of Hypothesis Testing.
  • Lecture 23: Tests Based on the Central Limit Theorem.
  • Lecture 24: Bayes Tests.
  • Lecture 25: Exponential Families of Distributions.
  • Lecture 26: Attained Significance Levels.
  • Lecture 27: Power and Type II Errors.
  • Lecture 28: The Neyman-Pearson Lemma and its Consequences.
  • Lecture 29: Non-parametric Tests
  • Lecture 30: Convergence to the Standard Normal Distribution.
  • Lecture 31: Criteria for Estimation
  • Lecture 32: The Information Inequality
  • Lecture 33: The General Linear Model
  • Institute of Mathematical Statistics - The purpose of the Institute is to foster the development and dissemination of the theory and applications of statistics and probability.

    Centre for Mathematical Sciences Mathematical Statistics

    Theory of Probability and Mathematical Statistics (journal)

    Professional Organizations

    The American Association for the Advancement of Science
    Home page for AAAS. Information on membership, sections, science policy, and their flagship journal, Science.
    American Mathematical Society
    American Mathematical Society's home page. Gives info on membership, activities, and other useful things like employment opportunities and a preprint server.
    American Society for Quality (formerly American Society for Quality Control)
    American Statistical Association
    A very active professional organization for statisticians, ASA now has a home page. They have info on membership, upcoming events, publications, meetings, etc.
    The Bernoulli Society for Mathematical Statistics and Probability
    The Bernoulli Society is a section of the International Statistical Institute focusing on probability and mathematical statistics. Links to membership info and meetings.
    Classification Society of North America
    The Classification Society of North America (CSNA) is a nonprofit interdisciplinary organization whose purposes are to promote the scientific study of classification and clustering (including systematic methods of creating classifications from data), and to disseminate scientific and educational information related to its fields of interests.
    Royal Statistical Society
    RSS home page. Includes links to RSS news, conferences, membership info, committees, etc. Also includes a link to the RSS Centre for Statistical Education.
    Society for Industrial and Applied Mathematics
    SIAM home page. Includes the standard links to membership info, conferences, publications, and career information (nice because it allows online browsing of job listings from their newsletter, SIAM News). Also some links to other math sites. The home page is graphics intensive, so be prepared to wait if using a slow Internet connection. (This is true only for the main home page--other pages at this site seem to be mostly text and transfer pretty quickly.)

     

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