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
Aneli [31]
2 years ago
13

When utilizing ANOVA, what does the between group sum of squares measure?

Mathematics
1 answer:
zhenek [66]2 years ago
5 0

Answer:

b. The sum of the squared deviations between each group mean and the mean across all groups

Step-by-step explanation:

Previous concepts

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"

Solution to the problem

If we assume that we have p groups and on each group from j=1,\dots,p 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}=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}

As we can see the sum of squares between represent the sum of squared deviations between each group mean and the mean across all groups.

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

So then the best option is:

b. The sum of the squared deviations between each group mean and the mean across all groups

You might be interested in
Each dvd storage case is about 1/5 inch thick
katrin2010 [14]
I think 1/5 but i’m not sure. i don’t think i’m right
8 0
3 years ago
Read 2 more answers
Ebony defines an obtuse angle as an angle that is not acute. Is Ebony’s definition valid?
Murljashka [212]

Answer:

no because there are also right angles. an obtuse angle can best be defined as an angle greater than 90 degrees and less than 180 degrees

8 0
3 years ago
Read 2 more answers
Imagine that James has been bowling for over 10 years and never gets any better or any worse. The probability that he will bowl
vichka [17]

Answer:

5.01%

Step-by-step explanation:

In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...

55 / 100 = 0.55

45 / 100 = 0.45

0.45 * 0.45 * 0.45 * 0.55 = 0.05011875

Multiply by 100 to get percentage.

0.05011875 * 100 = 5.01%

7 0
2 years ago
Please i need help with this please no trolls!
KonstantinChe [14]

Answer:

the answer is B

Step-by-step explanation:

8 0
3 years ago
Pauline is purchasing a car whose MSRP is $23,450. She has asked for an
AVprozaik [17]

Answer:

21200

Step-by-step explanation:

apex

8 0
2 years ago
Other questions:
  • 30. The table below shows the number of ants in an ant farm on different
    10·1 answer
  • What is the value of b in the equation below?
    13·1 answer
  • Is it true or false
    9·2 answers
  • 13 × 11 + 3/4 × 3/5 + 13 × 3/4 + 11 × 3/5
    7·1 answer
  • (6, 4, 4, 5, 1, 8, 10, 7, 8, 6, 6, 7, 5, 4, 6)
    9·2 answers
  • What can you divide to get 30
    14·1 answer
  • What's the number in the green box​
    8·1 answer
  • Please can you help me???
    10·1 answer
  • 600$. 5% compound interest per month. 1.5 years
    8·1 answer
  • A right rectangular pyramid is sliced vertically (down) by a plane passing
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!