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# Research Methods - Assignment Example

Summary
It uses ordinal scales since the variables are given different attributes and do have different effects to the data i.e. low, high and middle. Women and men are independent variables while…

## Extract of sample "Research Methods"

RESEARCH METHODS Question Identify dependent variable which is the key forthe model and explanatory variable which is related to dependent variable of the regression equation to know the association of the estimates.
Y = 5.0 + .30X1
Interpretation- 5.0 represents the number of hits of a new banner when there are no employees
0.3 shows that for every unit change in the number of employees, there is a corresponding increasing by 0.3 in turnover intentions
Y = 250 - 4.0X1
Interpretation = for every unit change in the number of weeks, there is a corresponding decrease in number of hit banners by 0.4
Question 2
Mean = 1/n {∑xi
= 680.1/24
= 28.34
Sample variance = {x1-µ}2/n-1
= {19476.81-19275.73}/24-1
= 8.74
Standard deviation = √var
= √8.74
= 2.96

Since the sample size is less than 30 and standard deviation is unknown we use t-statistic to analyze the data.
HO = mean of the miles of gallon are the same.
H1 = mean of the gallons are not the same.
T calculated = s/√n = 2.96/√24 = 0.604
T critical = degree of freedom = 24 hence the value = 1.7
Since t calculated is less than t critical, do not reject null hypothesis and conclude that the mean of the gallon are the same.
Question 3
Since the counting is independent we use the chi-square (Weinberg & Abramowitz, 2008). It uses ordinal scales since the variables are given different attributes and do have different effects to the data i.e. low, high and middle. Women and men are independent variables while low, high and medium acts as the predictor variables. The test statistic would be as stated below,
Null hypothesis= Gender affects enrollment in Old school
Alternative hypothesis= Gender does not affects enrollment in Old school
Now, since the observed significance 0.03 less than 0.05, reject the null hypothesis and conclude that gender affects enrollment is Old school.
However the table provides that the minimum expected is less than 8.19 while all the cells in the table is less than 76.0. Hence considering the sample as in the table it is difficult to calculate exact p value. We therefore use Monte Carlo Version of the likelihood ratio estimator which provides an accurate estimation of p value.
References
Corder, G. W., & Foreman, D. I. (2009). Nonparametric statistics for non-statisticians: A step-by-step approach. Hoboken, N.J: Wiley.
Babbie, E. R. (2008). The basics of social research. Belmont, CA: Thomson/Wadsworth.
Weinberg, S. L., & Abramowitz, S. K. (2008). Statistics using SPSS: An integrative approach. Cambridge: Cambridge University Press.
Kohler, U., & Kreuter, F. (2005). Data analysis using stata. College Station, Tex: Stata Press. Read More
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