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