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Week 5 – PART I POWER AND SAMPLE SIZE
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Page 1: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.

Week 5 – PART I

POWER AND SAMPLE SIZE

Page 2: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.

Terminology: Normal Samples• Power is the probability of rejecting a false null hypothesis. Power

should be close to one.• N1 and N2 are the number of items sampled from each population.

To conserve resources, they should be small.• Alpha is the probability of rejecting a true null hypothesis. It should

be small.• Beta is the probability of accepting a false null hypothesis. It should

be small.• Mean1 is the mean of populations 1 and 2 under the null hypothesis

of equality.• Mean2 is the mean of population 2 under the alternative hypothesis.

The mean of population 1 is unchanged.• S1 and S2 are the population standard deviations. They represent

the variability in the populations.

Page 3: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.

Terminology: Counts/Proportions

• Power is the probability of rejecting a false null hypothesis. It should be close to one.

• Ni is the size of the sample drawn from the ith population.• Allocation Ratio is N2/N1 so that N2 = N1 x R.• Alpha is the probability of rejecting a true null hypothesis. It should

be small.• Beta is the probability of accepting a false null hypothesis. It should

be small.• P1 is the proportion for group one.• P2 is the proportion for group two under the alternative hypothesis.• Odds Ratio is [P2/(1-P2)] / [P1/(1-P1)].

Page 4: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.

• SPSS module SAMPLEPOWER

• SigmaStat (SPSS product)

• PASS (NCSS product)

• SPLUS (Insightful product)

SPSS:• www.spss.com/spssbi/samplepower/• www.spssscience.com/SigmaStat/index.cfm

NCSS: www.ncss.com/pass.html

INSIGHTFUL: www.insightful.com/products/

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Page 22: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 23: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 24: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 25: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 26: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 27: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 28: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 29: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 30: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 31: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 32: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 33: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 34: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
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Page 38: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
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Page 41: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 42: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 43: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
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Page 46: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
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Page 49: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 50: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 51: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 52: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 53: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 54: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 55: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 56: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
Page 57: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
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Page 59: Week 5 – PART I POWER AND SAMPLE SIZE. Terminology : Normal Samples Power is the probability of rejecting a false null hypothesis. Power should be close.
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