Question 2

The appropriate statistical technique to compare patient satisfaction perceptions is the t test to compare mean scores.

Using a t test to compare mean scores allows the healthcare facility to determine whether there is a statistically significant difference in patient satisfaction perceptions between the recent data and the data collected prior to the introduction of new protocols.

A) Regression analysis

Regression analysis is used to examine the relationship between variables, but it does not directly compare means between two groups. In this scenario, the focus is on comparing the average satisfaction scores before and after the implementation of new protocols, which is better suited for a t test.

B) Factor analysis

Factor analysis is a technique used for identifying underlying relationships between variables and is not appropriate for comparing two sets of means. It is typically used in the context of data reduction or structure detection rather than for hypothesis testing regarding means.

C) Chi square

The chi-square test is used for categorical data to assess how expected counts compare to observed counts. Since the question involves comparing mean scores of patient satisfaction, the chi-square test is not suitable for this analysis, making it an incorrect choice.

D) t test to compare mean scores

The t test to compare mean scores is the correct statistical technique in this context, as it directly assesses whether the means of the two groups (pre- and post-implementation of protocols) are significantly different from each other, which is the primary goal of the analysis.

Conclusion

The t test to compare mean scores is the most appropriate method for evaluating differences in patient satisfaction perceptions before and after the introduction of new protocols. Other options, such as regression analysis, factor analysis, and chi-square tests, do not directly address the comparison of means, thus making them unsuitable for this specific analysis.