Repeated Measures Tests Calculator

Repeated Measures Tests Calculator

Repeated Measures Tests Calculator

Select Your Test

Wilcoxon Signed-Rank Test Data

Enter paired measurements for two conditions (e.g., pre-test and post-test):

Cochran’s Q Test Data

Enter binary outcomes (0 or 1) for 3 or more conditions (one subject per line, comma-separated):

Repeated Measures ANOVA Data

Enter continuous measurements for 3 or more conditions (one subject per line, comma-separated):

Page’s L Trend Test Data

Enter measurements for ordered conditions (e.g., dose levels or time points):

Skillings-Mack Test Data

Enter measurements with possible missing data (use ‘NA’ for missing values):

Analysis Results

Statistic Value

Interpretation

Calculation Steps

Repeated Measures Tests Calculator Guide

Repeated Measures Tests Calculator Guide

How to Use the Repeated Measures Tests Calculator

  1. Select the appropriate test type:
    • Wilcoxon Signed-Rank Test: For 2 related conditions (e.g., pre-test vs. post-test).
    • Cochran's Q Test: For 3+ binary conditions (0 or 1 outcomes).
    • Repeated Measures ANOVA: For 3+ continuous conditions.
    • Page's L Trend Test: For ordered conditions to test for a trend.
    • Skillings-Mack Test: For 3+ conditions with missing data.
  2. Enter your data in the provided textarea based on the selected test:
    • Wilcoxon: Pairs of values (e.g., "5,7" per line).
    • Cochran: Binary values (0 or 1, comma-separated per subject).
    • ANOVA: Continuous values (comma-separated per subject).
    • Page: Ordered condition values (comma-separated per subject).
    • Skillings-Mack: Values with "NA" for missing data (comma-separated).
  3. Choose a Confidence Level (90%, 95%, or 99%) from the dropdown.
  4. Click "Calculate Results" to compute the results.
  5. View the results, including:
    • Test-specific statistics (e.g., \(W\), \(Q\), \(F\), \(L\), etc.).
    • p-value.
    • Effect size where applicable (e.g., \(r\), \(\eta^2\)).
    • Interpretation of significance.
    • SPSS guidance for supported tests.
  6. Review the calculation steps and interpretation for detailed insights.
  7. Use the "Reset" button to clear inputs and restore defaults.

Key Features of the Repeated Measures Tests Calculator

Multiple Test Support

  • Supports five statistical tests for repeated measures data:
    • Wilcoxon Signed-Rank Test (non-parametric, 2 conditions).
    • Cochran's Q Test (binary outcomes, 3+ conditions).
    • Repeated Measures ANOVA (parametric, 3+ continuous conditions).
    • Page's L Trend Test (trend analysis for ordered conditions).
    • Skillings-Mack Test (handles missing data, 3+ conditions).
  • Allows seamless switching between test types with dynamic input fields.

Flexible Data Input

  • Accepts various data formats (paired, binary, continuous, or with missing values) based on the test.
  • Provides pre-filled example data for each test to facilitate quick testing.
  • Supports user-defined confidence levels (90%, 95%, 99%).

Accurate Calculations

  • Implements test-specific formulas:
    • Wilcoxon: Signed-rank statistic (\(W\)) with normal approximation for \(n \geq 10\).
    • Cochran: \(Q = \frac{(k-1) \cdot (k \cdot \sum L_j^2 - (\sum L_j)^2)}{k \cdot \sum B_i - \sum B_i^2}\).
    • ANOVA: \(F = \frac{\text{MS}_{\text{conditions}}}{\text{MS}_{\text{error}}}\) with partial \(\eta^2\).
    • Page: \(L = \sum (j+1) \cdot R_j\) with Z-score approximation.
    • Skillings-Mack: Identifies missing data (full calculation requires external tools).
  • Computes p-values using appropriate distributions (normal, chi-square, F).
  • Handles ties in ranks and edge cases (e.g., zero differences, invalid inputs).

Detailed Results

Displays:

  • Test-specific statistics (e.g., \(W\), \(Q\), \(F\), \(L\)).
  • Degrees of freedom where applicable (e.g., \(\text{df}_{\text{conditions}}\), \(\text{df}_{\text{error}}\)).
  • p-value for significance testing.
  • Effect sizes (e.g., \(r\) for Wilcoxon, \(\eta^2\) for ANOVA).
  • Condition-specific summaries (e.g., means, sums, rank sums).
  • Interpretation of results, including significance and direction of effects.

Interpretation and Guidance

  • Provides detailed interpretation for each test, including significance, effect size, and practical implications.
  • Offers SPSS implementation steps for Wilcoxon, Cochran, and ANOVA tests.
  • Includes warnings for tests not supported in SPSS (Page, Skillings-Mack) with recommendations for R.

Robust Error Handling

  • Validates input data for correctness (e.g., binary for Cochran, numbers for ANOVA).
  • Displays clear error messages for invalid inputs (e.g., insufficient data, incorrect format).
  • Ensures minimum requirements are met (e.g., 2+ subjects, 3+ conditions for most tests).