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3 years ago

Alan had already read 12 books this year before joining a book club, and he plans to read 1

Mathematics

1 answer:

Verizon [17]3 years ago

5 0

Respuesta:

Step-by-step explanation:

7 libros

12 - 19 ⇒ 7

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In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

LuckyWell [14K]

Answer:

$MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $j$ groups and on each group from $j=1,\dots,j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

We can find the $MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic $F=\frac{MSR}{MSE}=$

8 0

3 years ago

Hal used the following procedure to find an estimate for Step 1: Since and and 81 < 82.5 < 100, is between 9 and 10. Step

aalyn [17]

The answer would be i<span>n step 4, he made an error in determining which value is closer to 82.5</span>

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2 years ago

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Which unit rate is the lowest price per ounce? Choice A: 15 ounces of chocolate chips for $2.49 Choice B: 20 ounces of chocolate

Arisa [49]

Its 15 divided by 2.49 which is 6.02, then you have to divide 20 divide by 3.32 which equals 6.02. They are both equal Both a and B are equal

You're Welcome i hope i helped

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3 years ago

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What is the area of this triangle?

Aleonysh [2.5K]

I think the area of this triangle is 27.1 square cm. Hope it help!

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2 years ago

Solve for x. -1+14x 12+17

tino4ka555 [31]

Answer:

x=9

Step-by-step explanation:

These two angles are equal since they are alternate exterior angles

-1 +14x = 12x+17

Subtract 12x from each side

-1 +14x-12x = 12x-12x+17

-1+2x= 17

Add 1 to each side

-1+1+2x = 17+1

2x = 18

2x/2 = 18/2

x =9

8 0

2 years ago