Null Hypothesis Significance Testing

Null Hypothesis Significance Testing

Please analyze the data according to the NHST steps. Show your work and respond to as much of the following as you can.

STUDY 1

STEP 1 Design a study (Make a choice for the items that have a choice/choice below)

a) observation/correlation/experiment?

b) Model variable is IV/predictor/QIV/none?

c) Outcome variable is nominal/ordinal/interval/ratio?

d) Model variable is continuous/discrete?

e) What parametric assumptions still need checking?

Assume representativeness = yes and linearity = yes.

f) RQ: What is the effect/association of the number of hours worked on/to the number of publications?

STEP 2 State mutually exclusive hypotheses

a) H0: There is no association between the number of hours worked and the number of publications by a faculty member

b) H1: There is an association between the number of hours worked and the number of publications by a faculty member

STEP 3 Calculate test statistic(s), df, and effect size(s). Indicate whether the effect size(s) are small, medium, large.

Pearson correlation0.604

Df = 20 – 1 = 19

P-value0.005

STEP 4 Compare to alpha level

A p-value of 0.005 is statistically significant for an alpha level of 0.05

STEP 5 Invoke a decision rule and draw a conclusion(s)

The null hypothesis is rejected if we have a statistically significant p-value. We therefore conclude that there is an association between the number of hours worked and the number of publications by a faculty member

STEP 6 Interpret and report Write up the results in APA style, include appropriate descriptive statistics, inferential statistics, and effect size. Interpret the results in terms of the research question(s).

Results

Correlation: hours, num_pubsCorrelations

Pearson correlation 0.604

P-value 0.005

Descriptive Statistics: num_pubs, hours

Statistics

Variable N N* Mean SE Mean StDevMinimum Q1 Median Q3 Maximum

num_pubs20 0 7.45 2.98 13.31 0.00 0.25 1.00 9.25 49.00

hours 20 0 24.85 3.28 14.65 5.00 13.00 21.50 40.25 50.00

STUDY 2

STEP 1 Design a study (Make a choice for the items that have a choice/choice below)

a) observation/correlation/experiment?

b) Model variable is IV/predictor/QIV/none?

c) Outcome variable is nominal/ordinal/interval/ratio?

d) Model variable is continuous/discrete?

e) What parametric assumptions still need checking?

Assume representativeness = yes and linearity = yes.

f) RQ: What is the effect/association of _____________ on/to ___________?

STEP 2 State mutually exclusive hypotheses

a) H0:

b) H1:

STEP 3 Calculate test statistic(s), df, and effect size(s). Indicate whether the effect size(s) are small, medium, large.

STEP 4 Compare to alpha level

STEP 5 Invoke a decision rule and draw a conclusion(s)

STEP 6 Interpret and report Write up the results in APA style, include appropriate descriptive statistics, inferential statistics, and effect size. Interpret the results in terms of the research question(s).

Results