Test Statistic Paper Example

Identify a test statistic to help you assess the evidence against the null hypothesis you developed in the previous module.

The aim of the study is to compare two means or scores of one person taking physical exercise and dieting and the other person maintaining a healthy lifestyle and not working out. The test of choice is the t-test of two samples for means. For the t-test, the test statistics is t-score or t-statistics. The t- statistics are chosen because of the standard deviationism, not known upfront. The t-test is also used to compare two groups with two because of the two-sample t-test and the observation of the two groups are paired. For example, the hypothesis is to compare the means of first and the second participants. In this case, the first participant is the researcher and the second participant ix the colleague. The fits participant (1) would start undertaking physical exercises and eating healthy while the second (2) participant would not engage in any physical activity but lead a healthy lifestyle (Cooper & Schindler, 2014).

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The t-test is called so because the results of the test are based on the t- values. On the other hand, the t-values are is the test statistics which is the standardized values that the statistician calculates from the sample data when testing a hypothesis. The calculation of the t- values compares the sample mean to the null hypothesis. The calculation also incorporates the sample size and the overall variability in the data. If the t-value is 0, then there is no difference between the sample size and the data's variability.

Hypothesis

Null hypothesis (H0): 1=2

Alternative hypothesis (H1): 12

Discuss the total number of measurements (sample size), the possibility for measurement error, and whether it is large enough to paint an accurate picture.

Sampling and sample

This is an experimental study involving military personnel (sample space/ population). A sample of 60 participants would be selected from the local military camps. Stratified sampling method would be used As long as the people meet the inclusion criteria. The selected participant must be over 25 years of age, are military professionals, and must have been in the military for more than 2 years. The sample would be divided into two equal groups of 30 participants in the study groups and 30 in the control groups.

The two groups will be composed of 30 people each. For example, the group that undertakes workout and diets would be made up of thirty participants while the other group (control group) would be made up of 30 participants. The sixty personnel is an adequate sample that is assumed to be representatives of the entire military population across the country. It is also assumed that the result from this study is generalizable to the other military personnel. The experimental procedures are also transferable to the other military personnel because the research would have higher validity and reliability. The BMI of the participants would be measured before and after the study to determine the means of changes in the BMI of the participants at the end of the experimental period.

The possibility of Measurement Error

The possibility of measurements error is quite low as the researcher would himself objective measure the BMI of the participants before and after the experimental prior to avoid bias. It is also important to note that only in self-reported studies can the measurement errors and respondent bias occur as the respondents are likely to give false measurements to keep their image (Trochim, 2006). Objective measurement of the BMI means that the researcher would use scientific tools to measure the participant's height, weight and use their ages to calculate their balsa metabolic rate.

References

Cooper, D., & Schindler, P. (2014). Business research methods (2nd ed.). New York, NY: McGraw-Hill Education.

Trochim, W. (2006). Research Methods: The Essential Knowledge Base. New York. Sage