chi squared inferential statistics test

when do we use a chi squared test

for a test of difference with an unrelated design and nominal data

step 1 of a chi squared

create a contingency table and work out row and column totals

step 2 of a chi squared

calculate expected frequencies for each cell

whats this calculation

expected frequencies

step 3 of a chi squared

minus the raw value from the cell to the expected frequency that was just calculated, and then square that value (it’ll be very small) and divide by the previously calculated expected value

step four of a chi sqaured

find the observed value of x² by adding all the values in the final column

what is this calculation

observed value of x²

step five of a chi squared

calculate the degrees of freedom

how to calculate the degrees of freedom in a chi squared

df = (number of rows - 1) x (number of column - 1)

step 6 of a chi squared

find the critical value for x²

step 7 of a chi squared

state the conclusions