Regime Type France Spain UK Total Dictatorship 16 5 18 39 Parliamentary...

Regime Type France Spain UK Total

Dictatorship 16 5 18 39

Parliamentary Democracy 0 2 13 15

Presidential Democracy 3 13 9 25

Total 19 20 40 79

(i) CALCULATE LAMBDA FOR THIS TABLE. SHOW YOUR WORK.

(iii) STATE WHETHER THE RELATIONSHIP IS WEAK, MODERATE, MODERATELY STRONG, OR STRONG.

Expert Solution

Chi-Square Test of independence
	Observed Frequencies
	0
0	France	Spain	UK	Total
Dictatorship	16	5	18	39
Parliamentary Democracy	0	2	13	15
Presidential Democracy	3	13	9	25



Total	19	20	40	79

	*Expected frequency of a cell = sum of rowsum of column / total sum**
	Expected Frequencies
	France	Spain	UK	Total
Dictatorship	19*39/79=9.38	20*39/79=9.873	40*39/79=19.747	39
Parliamentary Democracy	19*15/79=3.608	20*15/79=3.797	40*15/79=7.595	15
Presidential Democracy	19*25/79=6.013	20*25/79=6.329	40*25/79=12.658	25



Total	19	20	40	79

	(fo-fe)^2/fe
Dictatorship	4.6726	2.4055	0.155
Parliamentary Democracy	3.6076	0.8508	3.847
Presidential Democracy	1.5095	7.0311	1.0572

Chi-Square Test Statistic,χ² = Σ(fo-fe)^2/fe =   25.135

Number of Rows =   3
Number of Columns =   3
Degrees of Freedom=(#row - 1)(#column -1) = (3- 1 ) * ( 3- 1 ) =   4

i) cramer's V=√((X²/n) /(min(c-1,r-1)) = √((25.135/79)/4) = 0.2820
ii) since, cramer's V >0.25

THE RELATIONSHIP Is STRONG.

orchestra answered 1 year ago

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Regime Type France Spain UK Total Dictatorship 16 5 18 39 Parliamentary...

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