This assignment requires students to demonstrate their knowledge of statistical concepts and tests. Students
This assignment requires students to demonstrate their knowledge of statistical concepts and tests. Students will use SPSS to input and analyze a data set, explaining the rationale and results for all tests conducted and their analyses.
Enter the data from the following table into SPSS. All fields in the "Variable View" window should be completed for each variable. Save the data set as a sav file, and save the output with the tables and histograms as a spv file. Students should compose their answers to the assignment in a doc file, which should be uploaded along with the sav (data set) and spv (output) files for grading.
[ Note : Exercise is classified as either none (no exercise), mild (30 minutes walking per day), or extreme (2 hours cardio and/or strength training per day), with participants only exposed to one of the three conditions. Self-esteem was measured at the end of the 3 weeks via a psychometrically sound test that reports scores ranging from 0 to 20, with larger scores representing higher levels of self-esteem. Body weight was measured in pounds at the beginning of the study for a baseline or starting weight, and at the end of each week for all participants.]
| Participant | Sex | Exercise | Baseline | Week 1 | Week 2 | Week 3 | Self-Esteem |
| 1 | Male | None | 200 | 202 | 201 | 202 | 8 |
| 2 | Female | None | 185 | 184 | 185 | 185 | 6 |
| 3 | Male | None | 205 | 207 | 208 | 207 | 7 |
| 4 | Female | None | 190 | 190 | 191 | 191 | 5 |
| 5 | Female | None | 180 | 181 | 180 | 182 | 6 |
| 6 | Male | None | 210 | 208 | 209 | 210 | 7 |
| 7 | Female | None | 187 | 188 | 188 | 189 | 5 |
| 8 | Male | None | 220 | 222 | 222 | 221 | 8 |
| 9 | Female | Mild | 183 | 183 | 182 | 182 | 7 |
| 10 | Male | Mild | 195 | 194 | 194 | 193 | 6 |
| 11 | Male | Mild | 209 | 207 | 206 | 204 | 9 |
| 12 | Female | Mild | 190 | 190 | 188 | 186 | 7 |
| 13 | Male | Mild | 218 | 217 | 216 | 213 | 9 |
| 14 | Female | Mild | 183 | 181 | 180 | 180 | 10 |
| 15 | Female | Mild | 191 | 190 | 189 | 187 | 9 |
| 16 | Male | Mild | 214 | 210 | 207 | 205 | 12 |
| 17 | Female | Extreme | 200 | 195 | 193 | 190 | 12 |
| 18 | Male | Extreme | 198 | 194 | 192 | 186 | 15 |
| 19 | Female | Extreme | 187 | 186 | 186 | 183 | 13 |
| 20 | Male | Extreme | 194 | 193 | 190 | 187 | 14 |
| 21 | Male | Extreme | 207 | 201 | 198 | 195 | 15 |
| 22 | Female | Extreme | 186 | 185 | 184 | 181 | 12 |
| 23 | Male | Extreme | 213 | 210 | 208 | 203 | 13 |
| 24 | Female | Extreme | 197 | 196 | 194 | 190 | 13 |
Part 1: Descriptive Statistics
Instructions : Answer each of the following questions using the data set for this assignment.
- List all of the variables in the data set and explain their scale of measurement (nominal, ordinal, interval, or ratio).
- Describe the shape of the frequency distributions for the body weight measurements at the baseline, week 1, week 2, and week 3, and the self-esteem variable according to symmetry, skewness, and modality.
- What percentage of participants had a baseline or starting weight of 200 lbs? Over 200 lbs? Less than or equal to 190 lbs? From 185 to 195 lbs?
- What percentage of participants had a self-esteem score of 9 or higher? Score equal to 12? Score equal to 6 or less? Score from 5 to 10?
- What is the mean, median, mode, range, standard deviation, and variance for baseline, week 1, week 2, week 3, and self-esteem? What do these results tell you about each variable? Why did we not calculate these statistics for sex or exercise?
- What is the z score for the following participants’ weight in week 3? What does each of these z scores tell you about the participant’s raw score?
- Participant 3
- Participant 7
- Participant 13
- Participant 22
7. Calculate the area under the normal curve for the following self-esteem scores: between 6 and 9; below 10; above 12; between 7 and 11. What do these areas represent?
Part 2: Inferential Statistics
Instructions : Four studies are described below. For each study, answer the following questions using the study description and the data set:
- What are the variables in this specific study? Identify each as an independent or dependent variable.
- What are the null and alternative hypotheses for this specific study? Provide the statistical notation and written explanation for each.
- Explain the specific Type I and Type II errors for this study.
- Would the researcher want to conduct a one- or two-tailed test for significance for this study? Explain.
- What statistical test (correlation, regression, t test, or ANOVA) would you conduct to test the hypothesis(es) for this study? What specific type of the test (e.g., independent samples, repeated measures, one-way, etc.) would you conduct? Explain your choices.
- Provide a summary of the results, including the necessary information based on the test conducted, as noted below. You only need to provide the information related to the one test conducted, thus only one of the following should be completed:
Correlation & Regression – include results in sentence format, correlation coefficient, description of type of correlation and significance, interpretation of the results, scatterplot with the regression line, regression equation for the data set (choose which of the variables from this specific study should be used for X and Y), predictions using the regression equation (choose at least 4 values for X to plug into your regression equation to get Y), description of the standard error of estimate, and conclusions regarding the hypothesis.
t Test – include results in sentence format, t value, statistical significance of difference, explanation of how you know, comparison of means, 95% confidence interval, and conclusions regarding the hypothesis.
ANOVA – include results in sentence format for each main effect and interaction, significance of difference for each, explanation of how you know, ANOVA table, interaction graph and explanation (if applicable), post-hoc comparisons (if applicable), and conclusions regarding the hypothesis(es).
Studies: Answer questions A-F above for each of the following research studies. Treat each study separately.
- A researcher wants to look at the relationship between body weight in week 3 and self-esteem scores. If the relationship is significant, the researcher would like to predict self-esteem scores from body weight.
- A researcher wants to look at the effect of time on body weight, believing body weight will change over a three week period.
- A researcher exposes participants to no exercise (none), mild exercise, or extreme exercise, and then measures their self-esteem. The researcher believes that self-esteem scores for those in the extreme exercise condition will be higher than those in the no (none) or mild exercise conditions.
- A researcher wants to look at the effects of sex and exercise on self-esteem. The researcher believes that those who are in the extreme exercise group will have higher levels of self-esteem than those who are in the mild or no exercise groups. In addition, males are expected to have higher levels of self-esteem than females. The males in the extreme exercise condition are expected to have higher levels of self-esteem than all other groups (males in the mild or no exercise condition and females in any exercise condition).
Deliverable: Word Document
