What is the mean value for the maths and english score

Assignment Help Advanced Statistics

Reference no: EM132722808

Section 1: Factors associated with students' performance

Use the "Academic awards.sav" file.

A research conducted a research to determine whether the number of awards a student received is explained by (1) the student's math score and (2) the type of program taught at school (coded as prog 1: general, prog 2: academic prog 3: vocational program).

QUESTION 1
Test whether the dependent variable "number of awards" follows a Poisson distribution

Fit a Poisson model Generalized Linear Model. Answer questions 2-6 (Section 1) from the SPSS output you obtained.

QUESTION 2
Are the mean and variance values for the dependent variable similar?

QUESTION 3
Is the deviance/df value of this model acceptable? Justify your answer.

QUESTION 4
What does the Likelihood Ratio Chi-Square statistics actually tests? What do you conclude from this test?

QUESTION 5
Is the variable "math" significantly associated with the dependent variable? Interpret the Exp(B) value.

QUESTION 6
Compare the performance of students in "Program 1" with those in "Program 3". Is the sign of the "B" estimate of the "prog=1" group positive or negative? What does this sign mean? Interpret the Exp(B) estimate for this group.

Now, fit two negative binomial regression models: in the first model set the "ancillary parameter" equal to 1 (default model), and in the second fit the model based on the estimated "ancillary parameter". Answer question 7 below.

QUESTION 7

Construct a table that summarizes all the fitted 3 models as shown below. From this table determine what is the best model to choose. Justify your answer.

Model comparison table

Model		Deviance	Pearson chi-square	LL	AIC	BIC	Deviance/df	Pearson chisq/df
1	Poisson
2	NB(default)
3	NB (estimated ancillary parameter)

Section 2: Differences between Study program

Use the "Academic awards.sav" file.

A researcher wanted to determine whether there were differences in Mathematics and English score between the students from three different school programs (coded as prog 1: general, prog 2: academic prog 3: vocational program).

QUESTION 1

Test whether the dependent variables "English" and "Maths" follow normal distribution. Based on the information provided what is your assessment regarding this assumption for: English and maths score?

Fit a MANOVA Model. Answer questions 2-6 (Section 2) from the SPSS output you obtained.

QUESTION 2

What is the mean value for the Maths and English score for each program?

QUESTION 3

Test the assumption that covariance matrices are statistically similar? What do you conclude from this test?

QUESTION 4

From the "multivariate test" table, determine whether programs have different effects on Math and English score. State your reason clearly?

QUESTION 5

From the univariate analysis Table, determine whether Maths and English score differ between the programs. What do you conclude from this test?

a. Is there a difference in maths score?

b. Is there a difference in English score?

Reference no: EM132722808

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