Unit 6 Research Paper

Statistical Analysis

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In this data, there are ten subjects who have been examined in terms of their response to changes in temperature. A statement has been made that higher temperatures will result in an increase in the aggression in the respondents. The statistical analysis has been performed by running the paired sample t test. A paired sample t test is used when there are same subjects examined in two different situations. The same identities have been used to assess the higher and lower temperature cases regarding aggression. The following tables show the results of the study.

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

Hot Temperature

32.500

10

13.1000

4.1426

Cold Temperature

20.300

10

8.4070

2.6585

The above table shows the average values of the hot and cold temperature groups. This is calculated by dividing the sum of values by the total number of values. The standard deviation is calculated by taking the deviations of sample mean from the actual values CITATION Rob12 \l 1033 (W.Mee & Chua, 2012). The standard error of mean is the measure used to indicate the fluctuation between the sample mean and population mean.

Paired Samples Correlations

N

Correlation

Sig.

Pair 1

Hot Temperature & Cold Temperature

10

.477

.164

The paired sample t test in this case is not very strong. The strength of this test is shown by the correlation figure given in the above table. A relatively lower correlation in this case is basically related to the means of two groups in the first table CITATION Don97 \l 1033 (W.Zimmerman, 1997). We can see a considerable difference between the means of two groups namely hot temperature and low temperature. A higher value in the correlation column shows that the ranks of scores in the two groups are the same. Thus, a higher score close to one show that any subject who had a higher score in the first experiment i.e. the higher temperature will have a higher score in the other group as well.

Paired Samples Test

Paired Differences

t

df

Sig. (2-tailed)

Mean

Std. Deviation

Std. Error Mean

95% Confidence Interval of the Difference

Lower

Upper

Pair 1

Hot Temperature – Cold Temperature

12.2000

11.7170

3.7053

3.8181

20.5819

3.293

9

.009

The above table shows the results of the t-test run to see if there is a significant difference between the two groups. The last column shows the significance figure at 0.009. Assuming a level of significance of 0.05, we can accept the null hypothesis and conclude that there is no significant difference between the two groups. Stated otherwise, temperature is not found to have any significant impact on the aggression.

References

BIBLIOGRAPHY W.Mee, R., & Chua, T. C. (2012). Regression toward the mean and the paired sample t test. The American Statistician, 39-42.

W.Zimmerman, D. (1997). Teacher's Corner: A note on interpretation of the paired sample t-test. Journal of Educational and Behavioral Statistics.