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BMSc Statistics > What test to do when? > Flashcards

What test to do when? Flashcards

1
Q

For a hypothesis test of the mean/ median, when do you approach using the normal distribution z-score?

A

Normally distributed

Comparing one-sample against a reference

Independent samples

Known population S.D.

Large sample size?

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2
Q

For a hypothesis test of the mean/ median, when do you use the one-sample T-test?

A

Normally distributed

Comparing one-sample against the reference

Independent samples

Population standard deviation unknown

Small sample size

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3
Q

For a hypothesis test of the mean/ median, when do yo use a paired T-test?

A

Normally distributed

Comparing dependent samples

Population standard deviation unknown

Small sample size

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4
Q

For a hypothesis test of the mean/ median, when do you use an independent T-test?

A

Normally distributed

Comparing independent samples

Population standard deviation unknown

Small sample size

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5
Q

When can you say that something is not normally distributed?

A

Looked at:

Normal plot

Box and whisker plot

Shaprio-wilk

Coefficient of skewness

Transformation can’t be found

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6
Q

What is the test statistic of the sign test?

A

Z

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7
Q

When can you use the sign test?

A

Not normally distributed

Test hypothesised median against a sample

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8
Q

What is the more comprehensive alternative to the sign test?

A

Wilcoxon signed rank test

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9
Q

When do you use the w test statistic for the wilcoxon signed rank test?

A

When n<25

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10
Q

When can the test statistic for the wilcoxon signed rank test be approximated to the normal (z)?

A

When n>25

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11
Q

When can you use the Wilcoxon matched pairs rank sum test?

A

Not normally distributed

Comparing dependent samples

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12
Q

When can you use the Mann-Whitney test?

A

Not normally distributed

Comparing independent samples

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13
Q

When can you use the normal approximation for the Mann-Whitney test? What test statistic is used otherwise

A

If n1 or n2 >10

T

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14
Q

What is the main hypothesis test for testing the independence of categories?

A

Chi-squared test

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15
Q

What is the criteria for using the Chi-squared test?

A

80% or more of the cells have an expected value >5

All expected frequencies are >1

Total sample size is >20

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16
Q

What can be done for the Chi-squared test if the sample size is too small?

A

Yate’s correction for Chi-squared test

17
Q

What hypothesis test for the independence of categories is done if the criteria for Chi-squared are not met?

A

Fisher’s exact test

18
Q

Criteria for approximating to the normal in a hypothesis test/ estimation approach for proportions?

A

Both np and n(1-p) >5

19
Q

When can the estimation approach for the mean be based on the normal distribution?

A

Sample from a normal population

Independent observation

Known population standard deviation

Large sample size

Sample not from a normal population

Independent observation

Large sample size

20
Q

When can the estimation approach for the mean be based on the t distribution?

A

Data plausibly normally distributed

Independent measurements

Population standard deviation unknown/ small sample size

21
Q

Correlation coefficient used for normally distributed data?

A

Pearson’s product moment correlation coefficient

22
Q

Main correlation coefficient sed for not normally distributed data?

A

Spearman’s ranked correlation coefficient

23
Q

What criteria must be met to use pearson’s product moment correlation coefficient?

A

Both variables normally distributed

Pairs of variables measured on a random sample

Pairs of variables independent

24
Q

Normally distributed

Comparing one-sample against a reference

Independent samples

Known population S.D.

Large sample size?

A

For a hypothesis test of the mean/ median, when do you approach using the normal distribution z-score?

25
Q

Normally distributed

Comparing one-sample against the reference

Independent samples

Population standard deviation unknown

Small sample size

A

For a hypothesis test of the mean/ median, when do you use the one-sample T-test?

26
Q

Normally distributed

Comparing dependent samples

Population standard deviation unknown

Small sample size

A

For a hypothesis test of the mean/ median, when do yo use a paired T-test?

27
Q

Normally distributed

Comparing independent samples

Population standard deviation unknown

Small sample size

A

For a hypothesis test of the mean/ median, when do you use a independent T-test?

28
Q

Not normally distributed

Comparing dependent samples

A

When can you use the Wilcoxon matched pairs rank sum test?

29
Q

Not normally distributed Comparing independent samples

A

When can you use the Mann-Whitney test?

30
Q

80% or more of the cells have an expected value >5

All expected frequencies are >1

Total sample size is >20

A

What is the criteria for using the Chi-squared test?

31
Q
A

BMSc Statistics (9 decks)

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