Goodness of Fit (Edexcel A-Level Further Mathematics): Quizzes

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Goodness of Fit
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In a χ² goodness of fit test, what does the test determine?

How well a distribution fits data

Is a Yates correction required in goodness of fit tests when ν=1\nu = 1?

No, never required

70 items in ratio 1:2:3:1. What are the expected values?

10:20:30:10

For 4 categories with one constraint, what are the degrees of freedom?

3

What is the formula for calculating each χ² contribution?

(O−E)2/E(O - E)^2/E

If χcalc2=6.15\chi^2_{calc} = 6.15 and critical value = 7.815 at 5% level, what is the decision?

Do not reject H0H_0

In goodness of fit tests, which statement is correct?

Model fits the data

If you estimate one parameter from data, how does ν\nu change?

Decreases by 1

What should you do if an expected frequency is less than 5?

Combine items/categories

If χcalc2=10.525>\chi^2_{calc} = 10.525 > critical value 9.488, what do you conclude?

Reject H0H_0

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