Statistical Reasoning - Statistical Modelling

A team of psychologists are interested in the effects of sleep deprivation on new learning. College students (N = 10) stay in a sleep lab for 2 days. Five participants are randomly assigned to an experimental condition in which they are not permitted to sleep during that period; the other five participants are allowed to sleep when they wish. At the end of two days, all participants attended a class that taught the principles of gene combination. They were given a test after the end of the class and counted the number of correct answers. Which of the following statistics would you recommend to test their hypothesis?

• Linear Regression Analysis

• Independent Samples T-Test

• Dependent Samples T-Test

• Pearson r Correlation

To investigate relationships, pearson r correlation can be used when the analysis involves two quantitative variables.

• True

• False

You conduct a study to examine the relationship between age and the number of occurrences of back pain that a person has experienced in their lifetime. You sample 10 people at random from the phone book. What statistical test can be used to predict the number of occurrences of back pain that someone should expect to have by the time they are 40 years old?

• Pearson r correlation

• One-way ANOVA

• Independent samples t-test

• Regression Analysis

What is the direction of relationship if the values of X and Y go in opposite direction (Y decreases as X increases)

• Positive

• Negative

The closer to zero the stronger the linear relationship and the closer to 1.0 the weaker the linear relationship.

• True

• False

Regression Analysis is used to predict how one variable will change with another

• True

• False

If p-value>0.05, reject the null hypothesis.

• true

• false

ANOVA stands for _____________

• Analysis of Variable

• Analysis of Variance

• Association of Variable

• Association of Variance

ANOVA is used to test whether there is a significant difference among three or more groups.

• true

• false

If the slope of the regression line is positive then it indicates a positive relationship between two variables.

• true

• false