A study of three independent groups yielded the following results: group n mean sd a 9 -0.28 2.2 b 9 0.15 2.6 c 10 -0.17 2.9 calculate the mean square error within groups.

Respuesta :

The mean square between groups is 0.4516.

A mean is absolutely defined as the average of the given set of numbers. The imply is likewise considered as one of the measures of primary dispositions in statistics. It gives the central fee of the set of values. The other two measures of valuable tendency are median and mode.

Mean, is an amount that has a price intermediate among the ones of the intense individuals of some set. Several forms of way exist, and the method of calculating a median depends upon the connection recognized or assumed to control the opposite members.

The mean is common among the numbers. It is simple to calculate: add up all of the numbers, then divide by what number of numbers there are. In different phrases, it's miles the sum divided via the be counted.

First, compute the sum of squares between groups, the degree of freedom between groups

then find the mean square between groups.

The sum of squares between groups is,

SS BG = n₁ × (−)² + n₂ × (ý − F)² + nz × (Ñ3 − x)² + n₁ × (ø − F) ²

          =9×(-0.28-(-0.10))²+9x(0.15-(-0.10))²+10x(-0.17-(-0.10))²

          = 0.9031

The degree of freedom between groups is,

df BG=k-1

= 3-1

= 2

The mean square between groups is,

[tex]MS_{BG}[/tex] = SS BG/df BG

          =0.9031/2

          = 0.4516

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