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Research Methodology for IB mock exam

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• Independent Samples Test
• Test Statistics a
• Coefficients a
• Paired Samples Statistics
• Paired Samples Correlations
• Interval k = 2 Logistic regression analysis a k > 2
• Answers multiple choice questions exam “Research Methodology for IB”

Group Statistics

	Attractiveness	N	Mean	Std. Deviation	Std. Error Mean
Interest	Low	34	3,2353	1,41547	,24275
	High	36	4,1111	,91894	,15316

Independent Samples Test
		Levene's Test for Equality of Variances		t-test for Equality of Means
		F	Sig.	t	Df	Sig. (2-tailed)	Mean Difference	Std. Error Difference	95% Confidence Interval of the Difference
									Lower	Upper
Interest	Equal variances assumed	6,191	,015	-3,088	68	,003	-,87582	,28366	-1,44185	-,30978
	Equal variances not assumed			-3,051	56,117	,003	-,87582	,28703	-1,45078	-,30086

One-way ANOVA

ANOVA
Interest
	Sum of Squares	Df	Mean Square	F	Sig.
Between Groups	10,584	4	2,646	1,746	,151
Within Groups	98,502	65	1,515
Total	109,086	69

Pearson correlation

Correlations
		Attractiveness	Interest
Attractiveness	Pearson Correlation	1	,226
	Sig. (2-tailed)		,060
	N	70	70
Interest	Pearson Correlation	,226	1
	Sig. (2-tailed)	,060
	N	70	70

Mann-Whitney test

Ranks
	Attractiveness		N		Mean Rank	Sum of Ranks
Interest	Low		34		27,59	938,00
	High		36		42,97	1547,00
	Total		70
Test Statisticsa
		Interest
Mann-Whitney U		343,000
Wilcoxon W		938,000
Z		-3,250
Asymp. Sig. (2-tailed)		,001
a. Grouping Variable: Attractiveness

Linear regression

Model Summary
Model	R	R Square	Adjusted R Square	Std. Error of the Estimate	Change Statistics
					R Square Change	F Change	df1	df2	Sig. F Change
1	,226a	,051	,037	1,23388	,051	3,651	1	68	,060
a. Predictors: (Constant), Attractiveness

ANOVAa
Model		Sum of Squares		Df		Mean Square			F			Sig.
1	Regression	5,559		1		5,559			3,651			,060b
	Residual	103,527		68		1,522
	Total	109,086		69
a. Dependent Variable: Interest
b. Predictors: (Constant), Attractiveness
Coefficientsa
Model			Unstandardized Coefficients				Standardized Coefficients			t			Sig.
			B		Std. Error			Beta
1	(Constant)		2,951		,412						7,170			,000
	Attractiveness		,225		,118			,226			1,911			,060
a. Dependent Variable: Interest

Spearman rank correlation

Correlations
			Attractiveness	Interest
Spearman’s rho	Attractiveness	Correlation Coefficient	1,000	,265*
		Sig. (2-tailed)	.	,027
		N	70	70
	Interest	Correlation Coefficient	,265*	1,000
		Sig. (2-tailed)	,027	.
		N	70	70
*. Correlation is significant at the 0.05 level (2-tailed).

Paired samples t-test

Paired Samples Statistics
		Mean	N	Std. Deviation	Std. Error Mean
Pair 1	Attractiveness	1,5143	70	,50340	,06017
	Interest	3,6857	70	1,25736	,15028

Paired Samples Correlations
		N	Correlation	Sig.
Pair 1	Attractiveness & Interest	70	,351	,003

Paired Samples Test

Paired Differences

t

df

Sig. (2-tailed)

Mean

Std. Deviation

Std. Error Mean

95% Confidence Interval of the Difference

Lower

Upper

Pair 1

Attractiveness – Interest

-2,17143

1,17918

,14094

-2,45260

-1,89026

-15,407

69

,000

Tables
Table 1

X X	Nominal	Ordinal	Interval
Nominal	Cross table with Chi-square test of independence
Ordinal		Spearman Rank correlation coefficient
Interval			Pearson correlation coefficient

Table 2

X Y	Nominal	Ordinal	Interval
Nominal	Cross table with Chi-square of independence	k = 2 Unrelated samples: Wilcoxon Rank Sum test = Mann-Whitney U test Related samples: Wilcoxon Signed Rank Sum test k > 2 Unrelated samples: Kruskal-Wallis test	k = 2 Unrelated samples: t2-test (independent samples t-test) Related samples: tD-test (paired samples t-test) k > 2 Unrelated samples: One-way ANOVA Related samples: Repeated measures ANOVAa
Ordinal
Interval	k = 2 Logistic regression analysisa k > 2 Discriminant analysisa		Regression analysis

^a These are more advanced techniques and are beyond the scope of present course. In other words, you do not have to use these techniques.
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You are allowed to take this sheet. The key for these MC questions will be put on Nestor.
Answers multiple choice questions exam “Research Methodology for IB”
1. 6. 11. 16.
2. 7. 12. 17.
3. 8. 13. 18.
4. 9. 14. 19.
5. 10. 15. 20.

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