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**ASSIGNMENT 1 **

** ****Objectives: **

The objective of this assignment is to enable you to develop knowledge and skills in the following areas of competency:

- Understand SPSS Statistics data file structure for exploratory data analysis procedures; and
- Prepare the SPSS Statistics data file for descriptive data analysis.

**Questions:**

** **HMEF5113 Dataset for Assignments 1 and 2 JANUARY 2022. sav was extracted from an experimental research study that was undertaken to determine the effectiveness of the teaching of Mathematics among Form 2 students using Learning Sites via the Virtual Learning Environment (VLE). Students in the experimental group learned via the use of VLE while those in the control group learned under the conventional “chalk and talk” method. The study involved 250 students from two schools in Kuala Lumpur.

Study this dataset carefully and answer the following questions:

- Generate a frequency count and histogram with a normal distribution curve for Pretest mathematics scores (Variable name: Pretest). Describe the frequency count and normal distribution curve.
- Generate a frequency count and bar chart to show the distribution of Family Income classification. Describe the frequency distribution output.
- Using the Posttest variable, create an ordinal-type variable with the following categories: (i) 20 marks and below, (ii) 21 to 40 marks, (iii) 41 to 60 marks, (iv) 61 to 80 marks, and (v) 81 marks and above. Show a frequency distribution table of the newly created ordinal-type Posttest category variable. Describe the frequency distribution table.
- Using the Pretest variable of students who participated in the experimental study, compute the following measures of central tendency: (i) Mean, (ii) Median, and (iii) Mode and the measures of a dispersion comprising (i) Range, (ii) Variance, and (iii) Standard deviation. Describe the output for measures of central tendency and measures of dispersion.
- Run a cross-tabulation between the Gender variable and the Posttest Category variable (new variable created under section d. above). Describe the crosstabulation findings.
- Run an exploratory data analysis of the Pretest and Posttest variables. Describe the exploratory data analysis output.

Describe how you would go about addressing missing values in a dataset when respondents failed to fill up their responses.

**ASSIGNMENT 2 **

**Objective: **

The objective of this assignment is to enable you to apply practical knowledge and skills in statistical analysis using the SPSS Statistics software. This assignment will provide you with knowledge and skills in statistics, statistical analysis, and interpretation of the research questions and hypotheses you have formulated.

**Question:**

** **HMEF5113 Dataset for Assignments 1 & 2 September 2021. sav was extracted from an experimental research study that was undertaken to determine the effectiveness of the teaching of mathematics among Form 2 students using Learning Sites via the Virtual Learning Environment (VLE). Students in the experimental group learned via the use of VLE while those in the control group learned under the conventional “chalk and talk” method. The study involved 250 students from two schools in Kuala Lumpur.

Study the HMEF5113 Dataset for Assignments 1; 2 September 2021.sav carefully, run your analysis using SPSS Statistics, and answer the following questions:

- Use the Posttest and Pretest variables to generate a “Gain Score.” Compute the mean and standard deviation of this newly generated variable by the Experimental and Control Group (Variable name: Method). Describe the mean and standard deviation output.
- Classify the Gain Scores derived from a) above into (i) Low Gain Score and (ii) High Gain Score. “Low Gain Score” is defined as those obtaining gain scores of 10 marks and below while “High Gain Score” refers to those obtaining gain scores of 11 marks and above. Run a frequency count of the Low and High Gain Scores. What conclusions can you make regarding the output based on this classification?
- Using the chi-square statistical test, show the relationship between the two categorical variables i.e. “Method” and “Low and High Gain Scores”. Discuss the chi-square statistical test results.
- Test the normality of the distribution using Posttest as the dependent variable and gender as the independent variable. Make your conclusions based on the output generated.
- Using the Posttest score as the dependent variable and Gender and Family Income as the independent variables, state the relevant research questions and null and alternative hypotheses to test whether significant differences occur among students by Gender and Tuition. State the appropriate statistical tests for each hypothesis.
- Run the appropriate statistical tests to test the hypotheses stated in (e) above. You are to decide whether to reject or not to reject the null hypotheses. Explain your conclusions based on the scientific inquiry approach.
- Using the Pearson Product Moment Correlation Coefficient, show the relationship between the Pretest and Posttest variables. Plot a scatter diagram to depict this relationship with a fit line. What conclusions can you make based on the correlation output?
- Run a multiple regression analysis using Posttest as the dependent variable and Pretest, Tuition, and Method as the independent variables. Discuss the regression output.

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