Contingency Tables

Contingency Tables
	Degree
Likert.resp	U	M	P	Total
1	9	7	11	27
2	13	9	15	37
3	16	10	29	55
4	17	20	10	47
5	8	15	8	31
Total	63	61	73	197

χ² Tests
	Value	df	p
χ²	17.712	8	0.023
N	197

One-way ANOVA (Non-parametric)

Kruskal-Wallis
	χ²	df	p
Likert.resp	8.287	2	0.016

Dwass-Steel-Critchlow-Fligner pairwise comparisons

Pairwise comparisons - Likert.resp
		W	p
U	M	2.643	0.062
U	P	-1.338	0.344
M	P	-4.007	0.005

Independent Samples T-Test

Independent Samples T-Test
		statistic	df	p	Mean difference	SE difference
Resp	Student's t	-1.198	14.000	0.251	-1.087	0.908
	Welch's t	-1.198	8.279	0.264	-1.087	0.908
	Mann-Whitney U	13.000		0.050	-1.800

Descriptives

Descriptives
	Group	Resp
Mean	A	3.337
	B	4.425
Median	A	2.600
	B	4.450
Standard deviation	A	2.458
	B	0.746

Plots

Resp

Descriptives

Descriptives
	Group	Ranks
Mean	A	6.125
	B	10.875
Median	A	4.500
	B	10.500
Standard deviation	A	5.222
	B	2.900

Plots

Ranks

Independent Samples T-Test

Independent Samples T-Test
		statistic	df	p
Resp.eq	Student's t	-0.080	14.000	0.938
	Welch's t	-0.080	9.073	0.938
	Mann-Whitney U	29.500		0.834

Descriptives

Descriptives
	Group.eq	Resp.eq
Mean	A	3.975
	B	4.050
Median	A	3.900
	B	4.150
Standard deviation	A	2.480
	B	0.965

Plots

Resp.eq

Descriptives

Descriptives
	Group.eq	Ranks.eq
Mean	A	8.188
	B	8.813
Median	A	7.750
	B	9.000
Standard deviation	A	5.769
	B	3.872

Plots

Ranks.eq

Independent Samples T-Test

Independent Samples T-Test
		statistic	df	p
Resp.eq.mean	Student's t	0.038	14.000	0.970
	Welch's t	0.038	7.250	0.971
	Mann-Whitney U	13.000		0.050

Descriptives

Descriptives
	Group.eq.mean	Resp.eq.mean	Ranks.eq.mean
Mean	A	4.500	6.125
	B	4.425	10.875
Median	A	2.600	4.500
	B	4.450	10.500
Standard deviation	A	5.577	5.222
	B	0.746	2.900

Plots

Resp.eq.mean

Ranks.eq.mean

Independent Samples T-Test

Independent Samples T-Test
		statistic	df	p
Resp.eq.med	Student's t	-1.305	16.000	0.210
	Welch's t	-1.305	15.221	0.211
	Mann-Whitney U	24.500		0.171

Descriptives

Descriptives
	Group.eq.med	Resp.eq.med
Mean	A	3.078
	B	4.178
Median	A	3.400
	B	3.400
Standard deviation	A	1.573
	B	1.980

Plots

Resp.eq.med

Descriptives

Descriptives
	Group.eq.med	Ranks.eq.med
Mean	A	8.188
	B	8.813
Median	A	7.750
	B	9.000
Standard deviation	A	5.769
	B	3.872

Plots

Ranks.eq.med

ANOVA

ANOVA
	Sum of Squares	df	Mean Square	F	p
H	0.005	2	0.003	8.227e-4	0.999
Residuals	75.636	24	3.151

One-way ANOVA (Non-parametric)

Kruskal-Wallis
	χ²	df	p
G	0.004	2	0.998

Descriptives

Descriptives
	H	G
Mean	A	2.000
	B	1.978
	C	1.967
Median	A	2.000
	B	2.000
	C	2.000
Standard deviation	A	1.369
	B	2.739
	C	0.278

Plots

G

Descriptives

Descriptives
	HeavyGroups	HeavyTails
Mean	A	-3.778
	B	4.220
Median	A	0.466
	B	3.079
Standard deviation	A	15.733
	B	5.361

Plots

HeavyTails

Independent Samples T-Test

Independent Samples T-Test
								95% Confidence Interval
		statistic		df	p	Mean difference	SE difference	Lower	Upper
HeavyTails	Student's t	-2.152	ᵃ	38.000	0.038	-7.998	3.717	-15.522	-0.474
	Welch's t	-2.152		23.354	0.042	-7.998	3.717	-15.680	-0.316
	Mann-Whitney U	68.000			< .001	-2.836		-4.224	-1.842
ᵃ Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances

Plots

HeavyTails

References

[1] The jamovi project (2019). jamovi. (Version 1.0) [Computer Software]. Retrieved from https://www.jamovi.org.

[2] R Core Team (2018). R: A Language and envionment for statistical computing. [Computer software]. Retrieved from https://cran.r-project.org/.