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Statistics Questions et reponses d'entretien

Question 6. What is the purpose of hypothesis testing?

Hypothesis testing is used to make inferences about a population based on a sample of data. It involves comparing observed data with the results that would be expected if a specific null hypothesis were true.

Example:

Testing whether a new drug has a significant effect by comparing the outcomes of treated and untreated groups.

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Question 7. Differentiate between correlation and causation.

Correlation implies a relationship between two variables, but it does not imply causation. Causation indicates that one variable directly influences the other.

Example:

There is a correlation between ice cream sales and drowning incidents, but one doesn't cause the other; both are influenced by warm weather.

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Question 8. What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true unknown parameter, with a certain level of confidence based on the sample data.

Example:

A 95% confidence interval for the average height of a population is 160 to 170 cm.

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Question 9. Define type I and type II errors.

Type I error occurs when a true null hypothesis is incorrectly rejected. Type II error occurs when a false null hypothesis is not rejected.

Example:

Type I: Concluding a new drug is effective when it is not. Type II: Concluding a new drug is not effective when it is.

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Question 10. What is ANOVA?

Analysis of Variance (ANOVA) is a statistical method used to determine if there are any statistically significant differences between the means of three or more independent groups.

Example:

Comparing the average scores of students in three different teaching methods.

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