Contingency Tables (AQA A-Level Further Maths): Flashcards

📚Flashcards
Contingency Tables
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Association (in contingency tables)

Relationship between two categorical variables

Expected frequency formula

row total×col totalgrand total\frac{\text{row total} \times \text{col total}}{\text{grand total}}

Min. expected frequency for valid test ('five alive' rule)

At least 5

Chi-squared statistic formula

X2=∑(Oi−Ei)2EiX^2 = \sum \frac{(O_i - E_i)^2}{E_i}

Degrees of freedom for m×nm \times n table

(m−1)×(n−1)(m-1) \times (n-1)

When to apply Yates' correction

2×2 contingency tables only

Null hypothesis H0H_0 in chi-squared test

No association between the variables

Action when expected frequency <5< 5

Group similar categories together

X2X^2 statistic is always...

Positive or zero (differences are squared)

Reject H0H_0 when...

X2≥X^2 \geq crit. value or p-value << significance level

Join 100,000+ A-Level students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.