Compare several mood score groups without normality assumptions. See medians, counts, and chi square output. Download summaries, check ties, and interpret evidence with confidence.
Use commas, spaces, or new lines between values. This calculator compares 2 to 6 independent groups.
| Participant | CBT Group | Support Group | Mindfulness Group |
|---|---|---|---|
| P1 | 16 | 11 | 19 |
| P2 | 14 | 10 | 18 |
| P3 | 18 | 12 | 17 |
| P4 | 20 | 14 | 22 |
| P5 | 21 | 13 | 21 |
| P6 | 15 | 15 | 20 |
| P7 | 13 | 9 | 16 |
| P8 | 17 | 12 | 18 |
Step 1: Combine all observations from all groups and find the grand median, written as M.
Step 2: For each group, count observations above M and below M.
Step 3: Build a contingency table with rows as groups and columns as above or below the median.
Expected count: Eij = (Row Total × Column Total) / Grand Total
Chi square statistic: χ² = Σ (Oij - Eij)² / Eij
Degrees of freedom: df = (r - 1)(c - 1). Here, c = 2, so df = r - 1.
P value: Computed from the chi square distribution using the calculated χ² and df.
Effect size: Cramer's V = √(χ² / N) for this two column table.
Important: Mood's median test is nonparametric. It compares groups around the grand median rather than comparing means.
The Mood Median Test Online Calculator helps you compare mood score distributions across independent groups. It uses a nonparametric method. That makes it useful when scores are skewed, ordinal, or contain outliers. Many mental health surveys produce data like this. The calculator combines all scores, finds the grand median, and counts values above and below that point. It then tests whether the groups differ more than random variation would suggest. You get the contingency table, chi square statistic, degrees of freedom, p value, effect size, and a clear decision statement.
Mood tracking often relies on scales, symptom checklists, and repeated screening tools. These measures may not meet normality assumptions. Group sizes can be unequal. Mood's Median Test offers a comparison based on medians rather than means. That makes interpretation easier for applied settings. Counselors, students, clinicians, and program evaluators can compare therapy groups, support formats, or education programs. The method does not diagnose a condition. It only tests whether the central tendency of independent groups appears different.
Start with the grand median. Next, review how many scores in each group fall above, below, or equal to that median. The tie setting matters because equal values can be excluded, counted below, or split. After that, inspect expected counts. Small expected counts may weaken the approximation. The p value tells you whether the observed pattern is statistically significant at your chosen alpha level. Cramer's V adds context by showing effect size. A tiny p value with a small effect may still have limited practical importance.
This calculator fits mental health analysis, service reviews, classroom projects, and survey summaries. It is useful for mood ratings collected from different interventions or independent participant groups. Use the tool with clean data and clear group labels. Keep the scores numerical. If the same person appears in multiple groups, choose a repeated measures method instead. Always report sample sizes, median rule, tie handling choice, chi square value, degrees of freedom, and p value. That makes your summary transparent, reproducible, and easier to trust.
It tests whether independent groups differ around a shared grand median. It does not compare means. It is useful when mood scores are skewed, ordinal, or affected by outliers.
No. This tool supports statistical analysis of mood scores. It does not diagnose depression, anxiety, or any mental health condition. Clinical decisions need qualified assessment and context.
Use it when you want a simple nonparametric comparison of two or more independent groups. It is helpful when normality is doubtful or when the scale is ordinal.
Ties are values exactly equal to the grand median. Some analysts exclude them. Others place them below the median or split them evenly. This calculator lets you choose the rule.
A small p value suggests the group pattern above and below the grand median is unlikely under the null hypothesis. It supports a statistically significant difference between groups.
Expected counts help you judge whether the chi square approximation is reasonable. Very small expected counts can make the approximation weaker and the result less stable.
Cramer's V gives effect size. It shows how strong the association is between group membership and position relative to the grand median. It adds practical meaning beyond significance.
No. Mood's median test assumes independent groups. If the same people are measured more than once, use a repeated measures method designed for paired or longitudinal data.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.