Statistical Analysis in Single Case Research

Question: Discuss about the Statistical Analysis in Single Case Research. Answer: Introduction: The current assignment aims to provide a statistical evaluation of the student data related to MySCU. Therefore, this assignment provides answers to the questions of a student enrolled in session 1 of the unit. The student wants to seek advice for obtaining information about the course. In order to provide advice to the student, the sample data has been obtained from the university website. The website contains 10 samples, which denotes that the size of the population is 10. However, due to the limited timeframe, sample 9 has been chosen, in which the number of students is 65. The sample denotes the number of students enrolled in the final examination with attempts in the same. Therefore, the time in MySCU site hours has been analysed with the help of descriptive statistics. Results of preliminary investigations: Figure 1: Histogram showing the time in MySCU site (hours) (Source: As created by author) Time in MySCU Site Hours Mean 32.0537 Standard Error 3.0477 Median 23.95 Standard Deviation 24.5714 Sample Variance 603.752 Kurtosis 1.82227 Skewness 1.35594 Range 117.91 Minimum 0.8 Maximum 118.71 Sum 2083.49 Count 65 Quartile 1 14.82 Quartile 3 42.37 Table 1: Descriptive statistics depicting the time in MySCU site (hours) (Source: As created by author) According to the above table, it has been found that mean of the sample data is obtained as 32.0537. In the words of Busk and Marascuilo (2015), mean represents the average value of a set of data or the mathematical depiction of the sum of a collection of numbers divided by the number of observations. In this case, it has been found that the average hours devoted in MySCU is 32.0537 hours. The median value is obtained as 23.95, which signifies that the amount of time spent in the course is 23.95 hours. The standard deviation is obtained as 24.5714 and it is much lower than the mean value. The lower the standard deviation, the closer is the value of data set to mean value (Diggle 2013). Thus, the standard deviation value obtained depicts that 32.0537 hours are required to be spent in the university site. The range depicts the difference between maximum and minimum value in a data set (Dimaggio 2013). In this case, the value is obtained as 117.91, which depicts that the data is highly spread out and thus, it could not be considered as an effective estimate of the data. In addition, the histogram presented above is positively skewed, which is the main reason behind the higher value of mean in contrast to the median value (Little and Rubin 2014). Conclusion: From the above discussion, it has been found that the average time needed to be spent in MySCU unit is obtained as 32.0537, as obtained after selecting sample 9 of the provided population. In addition, this has been further validated with the help of other descriptive statistics. Finally, it has been found that the positive skewness of the distribution has resulted in higher mean value compared to median. References: Busk, P.L. and Marascuilo, L.A., 2015. Statistical Analysis in Single-Case Research.Single-Case Research Design and Analysis (Psychology Revivals): New Directions for Psychology and Education, p.159. Diggle, P.J., 2013.Statistical analysis of spatial and spatio-temporal point patterns. CRC Press. Dimaggio, C., 2013. Introduction. InSAS for Epidemiologists(pp. 1-5). Springer New York. Little, R.J. and Rubin, D.B., 2014.Statistical analysis with missing data. John Wiley Sons.