Chi-square test

Question 1

Checklist

Answer 1

Nominal data
Independent measures design
Test for difference

Question 2

Calculation steps

Answer 2

1. Assign each cell a letter (A, B, C etc) – value is observed value o
2. Calc row, column and overall totals
3. For each cell expected frequency
   e= (Row total ×Column total)/
   (Overall total)
4. Then calculate X^2 for each cell

X^2=∑(o-e)^2/e

5. Add them all up for calculated value of X^2

Question 3

Critical value

Answer 3

Check critical value table based on 1-tailed/2-tailed hypothesis, significance level and degrees of freedom df = (rows-1)(columns-1)

Question 4

Significance Statement

Answer 4

If the calculated X^2 value is greater than or equal to the critical X^2 value the result is significant = reject Null Hypothesis.
If the calculated X^2 value is less than the critical X^2 value the result is not significant = accept Null Hypothesis.