1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
3 years ago
6

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

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

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}=

You might be interested in
Which statement is correct?
Alborosie

Answer:

B is the answer :)

Step-by-step explanation:

25% of the results are inbetween each of the areas. They're called quartiles :)

3 0
3 years ago
What 1/4(3.14)(5.4^3)(12)<br><br>and any player boys out there<br>plzzzzzz im bored
Soloha48 [4]

Answer is 1483.31088

Explanation:

It is asked that =(\frac{1}{4})(3.14)(5.4^{3} )(12)\\=(3.14)(5.4^{2} )(3)\\\\=(3.14)(157.464)(3)\\=1483.31088\\

Answer is 1483.31088

6 0
3 years ago
Read 2 more answers
A juice recipe calls for 5 cups of grape juice for every 2 cups of peach juice are needed for a batch that uses 8 cups of peach
Ksivusya [100]

Answer: 20 cups of grape juice are needed for 8 cups of peach juice.

Step-by-step explanation:

5 times 4 is 20.

We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.

So, 20 cups of grape juice are needed for 8 cups of peach juice.

Hope this answer helps you out!

3 0
3 years ago
Read 2 more answers
Solve by the method of balancing and equation and write the step use to separate the variable.....​
lesya [120]

Answer:

the required answers are :

c) x = 2

d) x = 27 / 7

e) x = 9

f ) x = 6

Step-by-step explanation:

for explanation see the attached image

^_^

5 0
3 years ago
√7 as a fraction <br><br>pls help <br><br><br><br><br><br><br><br>​
ikadub [295]

Answer:

2645/1000

Step-by-step explanation:

ㅐㅕ     HEr

7 0
3 years ago
Read 2 more answers
Other questions:
  • An aquarium tank in the shape of a rectangular prism is 60 cm long, 27 cm wide, and 24 cm high. the top of the tank is open, and
    6·1 answer
  • In a simple linear regression study between two variables x ( the independent variable) and y (the dependent variable), a random
    11·1 answer
  • The area of a gymnasium floor is 264 aquare yards. The floor is 11 yards wide. How long is the foor
    14·1 answer
  •   (–1) + 5 – (–6) – 5 = <br><br>       A. 5   B. –3   C. 0   D. –2. the correct answer is A. 5
    11·2 answers
  • HELP ME ITS DUE IN 30 MINS
    5·1 answer
  • Help me with this please!​
    15·1 answer
  • Find the value of x by using law of sines.
    9·1 answer
  • PLZ PLZ HELP WILL MARK BRAINLIEST Select ALL the correct answers. Select all the expressions that will include a remainder.
    8·1 answer
  • Rat.e me. . . please don't make fun, i got punched and my face got def.ormed
    5·1 answer
  • If ​P(A)=0.9​, ​P(B)​=0.1, and A and B are​ independent, find​ P(A and​ B).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!