Explain about Correlation test for Scale/ Ordinal Variables in terms o

villane0

villane0

Answered question

2021-11-21

Explain about Correlation test for Scale/ Ordinal Variables in terms of
a. Analysis background - a brief introduction on the objective of the analysis, hypothesis statements, and the variables.
b. Analysis procedures - the flow chart of the analysis procedures or the step-by - step procedure in performing the analysis.

Answer & Explanation

Ralph Lester

Ralph Lester

Beginner2021-11-22Added 16 answers

Step 1 Correlation test for Scale/ Ordinal Variables
here we are testing where there is a correlation or linear relationship between two Scale/ Ordinal Variables. i.e.
testing significance of collection coefficient between two Scale/ Ordinal variables.
Step 2
1. Hypotheses
First, we specify the null and alternative hypotheses:
Null hyposesis H0:ρ=0 and Alternative hypothesis HA:ρ0 or HA:ρ<0 or HA:ρ>0
2. Test Statistic
Test statistic:
t=rn21r2
where r is correlation coefficient between two variables n = number of pairs
3. P-Value
Third, we use the resulting test statistic to calculate the P-value. An always, the P-value is the answer to the question'' how likely is it that we'd get a test statistic t as extreme as we did if the null hypothesis were true?'' The P-value is determined by referring a t-distribution with n-2 degrees of freedom.
4. Conclusion
If the P-value is smaller than the significance level «, we reject the null hypothesis in favor of the alternative. We conclude "there is sufficient evidence at thea level to conclude that there is a linear relationship in the population between the predictor x and response y."
If the P-value is larger than the significance level a, we fail to reject the null hypothesis. We conclude "there is not enough evidence at the a level to conclude that there is a linear relationship in the population between the predictor xand response y."

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