Determine the G*Power Analysis

Posted on: 27th May 2023

Question

----Determine the G*Power Analysis on the target population of 51 students participating in a study. ------------

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Target Population

The accessible population for this sample will consist of volunteer students from a diverse student population graduate nursing program in a city of the southern United States region. Criteria for inclusion in the study: 1) graduate NP students and 2) enrollment in any semester and program. This area is inhabited with a diverse population. The project will consist of participants that are both male and female. The selected sample will include a total of 51 students. Typically, nursing curriculums admit less than 30 students per semester. However, including all NP programs this created more capacity for research inclusion.

The study used a G power analysis to determine the required sample size. The study parameters were derived from the methodology section, where the study design had already determined a within-subjects t-test to be appropriate. As such, the conditions entered into the G power analysis calculator were as follows. The test family was a t-test with a statistical test selection of “Means: Difference between two dependent means (matched pairs).” This selection reflected that the study aimed to measure the difference between two variables within the same population over time. The type of power analysis selected was the a-priori type as we wished to determine sample size with values of alpha, power, and effect provided. The tails section had the value one selected as the study has a directional hypothesis that the students will portray a positive response to the educational intervention (Rafati et al., 2017).

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Solution

Determine the G*Power Analysis

[1] -- Wednesday, March 09, 2022 -- 22:39:02

t tests - Means: Difference between two dependent means (matched pairs)

Analysis:    A priori: Compute required sample size

Input:        Tail(s)                                     =  One

                   Effect size dz                         =  0.5

                   α err prob                                =  0.05

                   Power (1-β err prob)              =  0.95

Output:      Noncentrality parameter δ     =  3.3541020

                   Critical t                                 =  1.6802300

                   Df                                           =  44

                   Total sample size                    =  45

                   Actual power                          =  0.9512400

The G*Power Analysis results show that the target population of 51 students participating in a study will require a sample size of 45 in order to have a 95% power. This means that the study has high power and is very likely to detect an effect size of 0.5 if it exists in the population. Additionally, the non-centrality parameter (3.3541020) indicates that the study is fairly robust to deviations from normality in the population. The critical t value (1.6802300) indicates that the study is likely to detect an effect size of 0.5 or greater with a 95% confidence level. Finally, the actual power value (.9512400) indicates that the study will be able to detect an effect size of 0.5 or greater in the population with a 95% confidence level. 

References

Kang, H. (2021). Sample size determination and power analysis using the G* Power software. Journal of educational evaluation for health professions, 18.

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