Hypothesis Testing

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Which test do you use if you are testing for a correlation?

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1

Which test do you use if you are testing for a correlation?

PMCC test

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2

Which test do you use if you are testing for an association?

SRCC test

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3

Which test do you use if you are testing for an association and have data in a contingency/two way table?

Chi Squared Test

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4

Which test do you use if you are comparing the mean to a given value?

Normal Z Distribution

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5

Which tests do you use if you are comparing the population average of two paired samples?

Paired sample Wilcoxon Signed Rank

Paired sample Sign Test

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6

Which tests do you use if you are comparing the population average to a given value?

Single sample Wilcoxon Signed Rank

Single sample Sign Test

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7

Which test do you use if you are comparing the population difference of two non-paired samples?

Wilcoxon Rank Sum

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8

Define a Type I error

Reject H0 when it is true

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9

What is the probability of a Type I error?

The same as the significance level

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10

Define a Type II error

Accept H1 when it is false

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11

What is the Central Limit Theorem?

If n >30, then we can find probabilities about a mean even if the original distribution wasn’t a normal distribution

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12

Define the term parameter

A numerical value of a population

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13

Define the term statistic

A numerical value of a sample

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14

What assumptions about the distribution are required for the sign test to be valid?

No assumptions

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15

What assumptions about the distribution are required for the Wilcoxon signed rank test to be valid?

  • distribution is symmetrical

  • distribution of differences is symmetrical for a paired test

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16

What percentage of data lies within one standard deviation of the mean in a normal distribution?

68%

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17

What percentage of data lies within two standard deviations of the mean in a normal distribution?

95%

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18

What percentage of data lies within three standard deviations of the mean in a normal distribution?

99.8%

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19

What must you do to the data before you can calculate the SRCC value?

Rank the data

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20

What are H0 and H1 for a SRCC test?

H0: no association between x and y

H1: positive/negative/some association between x and y

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21

What are H0 and H1 for a PMCC test?

H0: p = 0

H1: p > 0 or p < 0 or p doesn’t equal 0

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22

When do we reject H0 in SRCC and PMCC tests for POSITIVE correlation/association?

If the test statistic is ABOVE the critical value

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23

When do we reject H0 in SRCC and PMCC tests for NEGATIVE correlation/association?

If the test statistic is BELOW the critical value

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24

What are H0 and H1 for the Chi squared test?

H0: no association between x and y

H1: positive/negative/some association between x and y

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25

When do we reject H0 in the Chi squared test?

When the test statistic is ABOVE the critical value

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26

What are H0 and H1 for the Normal Distribution (z) Test?

H0: u = value

H1: u > value or u < value or u does not equal value

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27

What are the steps for the Normal Distribution (z) test?

  • H0 and H1

  • test stat = value of x bar

  • reject H0 if the p value is ABOVE the critical value

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28

What are H0 and H1 for the Wilcoxon Rank Sum test?

H0: nd = 0

H1: nd > 0 or nd < 0 or nd does not equal 0

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29

What assumption do you make with the Wilcoxon Rank Sum test?

the population is symmetric

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30

What are the steps for the Wilcoxon Rank Sum test?

  • H0 and H1

  • Rank data across both sets

  • Total of ranks for each set

  • Calculate U values

  • Test stat = smallest U value

  • Critical region is anything less than or equal to critical value

  • Reject H0 if test stat is ABOVE critical value

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31

When do you need to pool data for a Chi squared test?

If any of the EXPECTED values are less than 5

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