computation:
A. Mean
B. First order correlation
C. Correlation coefficient
D. Second order correlation
Choose the correct answer from the options given below:
Understanding Variable Requirements for Statistical Measures
To arrange the given statistical measures in increasing order of the minimum number of variables required for computation, we need to determine the variable count for each:
- A. Mean: The mean is calculated for a single dataset, representing the average value of one variable. Minimum variables required: 1.
- B. First order correlation: This typically refers to the correlation between two distinct variables (e.g., $r_{xy}$). Minimum variables required: 2.
- C. Correlation coefficient: Commonly referring to measures like Pearson's $r$, it quantifies the linear association between two variables. Minimum variables required: 2.
- D. Second order correlation: This implies relationships involving more than two variables, such as partial correlations ($r_{xy.z}$) where the effect of a third variable is considered, or higher-order moments. Minimum variables required: 3.
Ordering Statistical Measures by Variable Count
Based on the minimum number of variables needed:
- Mean (A): 1 variable
- Correlation coefficient (C): 2 variables
- First order correlation (B): 2 variables
- Second order correlation (D): 3 variables
The order of increasing minimum variables is A (1 variable), followed by C and B (both 2 variables), and finally D (3 variables).
Following the sequence A, C, B, D gives the correct increasing order.
Important Questions from Correlation Analysis - Teaching
- Which of the following correlation coefficient represents the variables with the weakest degree of relationship?
- Match List I with List IIChoose the correct answer from the options given below:
LIST I LIST II A. An inferential test used to determine effect size for a chi-square test; the correlation used when both measured variables are dichotomous and nominal I. Point-biserial correlation coefficient B. The correlation used when one of its variables is measured on a dichotomous nominal scale and the other is measured on an interval or ratio scale II. Regression analysis C. A procedure that allows to predict an individual's score on one variable based on knowing one or more variables III. Partial correlation D. A correlational technique that involves measuring three variables and then statistically removing the effect of the third variable from the correlation of the remaining two variables IV. Phi-coefficient - Which of the following is correct about correlation coefficient
A. The Pearson correlation is used to score variables
B. The Spearman correlation is used for nominal variable
C. The numerical size of the correlation ranges from -0.1 to +0.1
D. The Spearman correlation is used for internal variable
Choose the correct answer from the options given below: - In a study, a researcher wants to eliminate the effect of one variable in a bid to find out the pure relationship between two variables of his/her interest. He/She should be advised to use which of the following methods of computing coefficient of correlation ?
Assertion (A) : There is a positive co-relation between literacy and primary education.
Reason (R) : It has been found that total literate districts have shown increase in enrolment at primary level.
Codes :
