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Second group mean — Pooled Cohen d Calculator

Pooled Cohen d: Calculate second group mean from Standardised mean difference, First group mean, First group sample deviation, First group size, Second group sample deviation, Second group size. Check the formula, input units and worked result on this page.

Enter your values

Formula symbol: d. Enter a numeric value.
Formula symbol: m1. Enter a numeric value.
Formula symbol: s1. Enter a numeric value. Must be greater than zero.
Formula symbol: n1. Enter a numeric value. Use a whole number. Must be greater than zero.
Formula symbol: s2. Enter a numeric value. Must be greater than zero.
Formula symbol: n2. Enter a numeric value. Use a whole number. Must be greater than zero.

Use a decimal point, without thousands separators.

Groups are independent, units match and pooled deviation must be positive. The sign preserves group order; no size labels, significance or causality decision is supplied.
Example result
Second group mean
10

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

The difference in group means is divided by a pooled deviation weighted by degrees of freedom. This form solves for second group mean; enter the known quantities in Standardised mean difference, First group mean, First group sample deviation, First group size, Second group sample deviation, Second group size.

Inputs and units
Second group mean — Pooled Cohen d Calculator · Inputs and units
InputExample valueWhat to enter
Standardised mean difference1Formula symbol: d. Enter a numeric value.
First group mean12Formula symbol: m1. Enter a numeric value.
First group sample deviation2Formula symbol: s1. Enter a numeric value. Must be greater than zero.
First group size10Formula symbol: n1. Enter a numeric value. Use a whole number. Must be greater than zero.
Second group sample deviation2Formula symbol: s2. Enter a numeric value. Must be greater than zero.
Second group size10Formula symbol: n2. Enter a numeric value. Use a whole number. Must be greater than zero.
m2 = (m1 - (d * sqrt(((((n1 - 1) * (s1 ^ 2)) + ((n2 - 1) * (s2 ^ 2))) / ((n1 + n2) - 2)))))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Standardised mean difference
1
First group mean
12
First group sample deviation
2
First group size
10
Second group sample deviation
2
Second group size
10

Complete example results

Second group mean
10

Reading the result

The result solves for second group mean from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the second group mean result?

Groups are independent, units match and pooled deviation must be positive. The sign preserves group order; no size labels, significance or causality decision is supplied.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: people.umass.edu

Methods & accuracy

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