Two Way Table Analyser Help

Overview

This app analyze data from a two way table.

Instruction

1. Choose the number of rows and columns of the two way table you want to construct, then press the [Update] button.

			Total
			0
			0
Total	0	0	0

2. Enter title in the blue boxes and data in the white boxes (both numbers and fractions are accepted in the data fields.). The sum of each row and column will be automatically calculated as you entering the data.

Example	Test 1	Test 2	Total
Passed	5	8	13
Failed	7	3	10
Total	12	11	23

3. Press the [Analyze] key to analyze the data.

Relative Frequencies for Whole Table

Example	Test 1	Test 2	Total
Passed	$\frac{5}{23}=0.2174$	$\frac{8}{23}=0.3478$	$\frac{13}{23}=0.5652$
Failed	$\frac{7}{23}=0.3043$	$\frac{3}{23}=0.1304$	$\frac{10}{23}=0.4348$
Total	$\frac{12}{23}=0.5217$	$\frac{11}{23}=0.4783$	$\frac{23}{23}=1$

Relative Frequencies by Row

Example	Test 1	Test 2	Total
Passed	$\frac{5}{13}=0.3846$	$\frac{8}{13}=0.6154$	$\frac{13}{13}=1$
Failed	$\frac{7}{10}=0.7$	$\frac{3}{10}=0.3$	$\frac{10}{10}=1$
Total	$\frac{12}{23}=0.5217$	$\frac{11}{23}=0.4783$	$\frac{23}{23}=1$

Relative Frequencies by Column

Example	Test 1	Test 2	Total
Passed	$\frac{5}{12}=0.4167$	$\frac{8}{11}=0.7273$	$\frac{13}{23}=0.5652$
Failed	$\frac{7}{12}=0.5833$	$\frac{3}{11}=0.2727$	$\frac{10}{23}=0.4348$
Total	$\frac{12}{12}=1$	$\frac{11}{11}=1$	$\frac{23}{23}=1$

Statistical Analysis

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Expected Counts

Example	Test 1	Test 2
Passed	$\frac{156}{23}=6.7826$	$\frac{143}{23}=6.2174$
Failed	$\frac{120}{23}=5.2174$	$\frac{110}{23}=4.7826$

Chi-Square: ${\chi }^2=2.2531$

Degrees of Freedom = (2 - 1)(2 - 1) = 1

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