Gender and Student Performance Analysis

Study Notes

The teacher wanted to investigate if female students perform better than male students in a certain subject
The teacher collected data from 20 students, including their gender and scores out of 100
The data was divided into two groups based on gender: 12 female students and 8 male students
Visualization of the data showed:
- In the first dataset, female and male students had scores within a similar range
- In the second dataset, female students generally scored higher than male students
To quantify the strength of the association between gender and performance:
- The teacher coded gender as a dichotomous variable (0 for male, 1 for female)
- Calculated the mean scores for each gender group (78.66 for females, 82.25 for males)
- Calculated the point-biserial correlation coefficient, which was 0.188 in the first dataset and -0.963 in the second dataset
- The sign and magnitude of the point-biserial correlation coefficient indicates the strength and direction of the association between gender and performance
- A strong positive or negative correlation close to 1 or -1 suggests a strong association

The teacher investigated whether female students outperform male students in a specific subject

Female and male students had similar score ranges in the first dataset
Female students generally scored higher than male students in the second dataset

Gender coded as dichotomous variable: 0 for male, 1 for female
Mean scores calculated for each gender group: 78.66 for females, 82.25 for males
Point-biserial correlation coefficient calculated: 0.188 in the first dataset, -0.963 in the second dataset

Sign and magnitude of coefficient indicate strength and direction of association between gender and performance
Strong positive or negative correlation close to 1 or -1 suggests a strong association