STAT HW

Instruction: your answers should be based analyzing the MS Excel file Happiness_2011.xls on the Happiness Survey; MS Excel file is organized with multiple datasheet for you in the Happiness_2011.xls file. In this exam, you can treat ordinal variables as interval variables.

1. Please Perform ANOVA One-Factor Analysis by doing the following (Hint: Chapter 12, ANOVA):

a. Organize the data and show in MS Excel (5 points);

b. Write down one question that you could answers using ANOVA One Factor analysis with the Happiness_2011.xls dataset and state its null and alternate hypotheses (5 points);

c. Perform one ANOVA One-Factor analysis using two reasonable variables from the Happiness_2011.xls dataset (one quantitative variable and one qualitative group variable) and show the analysis results for the question (10 points) ;

d. Indicate whether you reject or accept the null hypothesis (5 points);

e. Interpret your findings from the analysis (5 points).

Note:

i. in Excel, you may use Sort function to select the data under different categories from the dataset, and then use the organized dataset to perform the analysis.

ii. For one-way/factor ANOVA test, please watch the video under Chapter 12: One way/factor ANOVA: www.youtube.com/watch?v=leHOBf_-9kM )

2. Please Perform one Chi-square Test by doing the following (Hint: Chapter 15/17, Nonparametric Methods: Chi-Square):

a. Organize the data and show in MS Excel (5 points);

b. Write down one potential question that you could answers using Chi-square test with the Happiness_2011.xls dataset and state its null and alternate hypotheses (5 points);

c. Perform one Nonparametric Methods: Chi-Square Test using any two reasonable variables from the Happiness_2011.xls dataset (two qualitative variables) and show the analysis results for the question (10 points);

d. Indicate whether you reject or accept the null hypothesis (5 points);

e. Interpret your findings from the analysis (5 points).

Note:

i. in Excel, you may use PivotTable function to build your contingency table from the dataset, and then use the table to perform the analysis. See Video under Chapter 1: How to build a PivotTable in Excel (optional): http://www.youtube.com/watch?v=7zHLnUCtfUk

ii. For Chi-square test, please watch the video under Chapter 15/17:: Chi-Square Test  (Test of Contingency Table or Test for Independence) In Excel using data analysis: http://www.youtube.com/watch?v=WDLMhwuNATY

3. Please Perform regression analysis by doing the following (Hint: Chapter 13 on simple regression and 14 on multiple regression):

a. Organize the data and show in MS Excel (5 points);

b. Write down potential questions that you could answer using regression analysis for the Happiness_2011.xls dataset (5 points);

c. Perform one simple regression using any two reasonable variables from the Happiness_2011.xls file (two quantitative variables) and show the analysis results (10 points);

d. Interpret the findings from the simple regression analysis (5 points);

e. Add one or more quantitative variable (including dummy variable that have values of 0 and 1) to the analysis in #b, perform one multiple regression analysis (10 points)

f. Interpret your findings from the multiple regression analysis (5 points).

Note:

i. in Excel, you may copy the columns of the variables you want to analyze from the Happiness_2011 dataset and paste them next to each other in a new datasheet.

ii. For simple regression analysis, please watch the video under Chapter 13: simple regression basics (Excel): http://www.youtube.com/watch?v=8JOJ_7R_OWY and its interpretation explanation  of simple regression: http://www.youtube.com/watch?v=c5blVUkkjTM

iii. For multiple regression analysis, please watch the video under Chapter 14: Multiple regression analysis using Excel: http://www.youtube.com/watch?v=720_5tv_JDs and Multiple regression analysis interpretation: http://www.youtube.com/watch?v=i7ml3SbWd0w ; Multiple regression analysis with dummy variables: http://www.youtube.com/watch?v=F0tRzIjDoTs