Gender and Student Performance Analysis

Determining the Association between Gender and Student Performance

• 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

Research Question

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

Data Collection

• 20 students' data collected, including gender and scores out of 100
• Data divided into two groups: 12 female students and 8 male students

Data Visualization

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

Quantifying Association

• 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

Interpreting Correlation Coefficient

• 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