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
Evgesh-ka [11]
3 years ago
9

Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar

e listed below.
Condition Mean Variance
Condition 1 3.2 14.3
Condition 2 4.2 17.2
Condition 3 7.6 16.7
1. What’s the valueof mean squares between groups (MSB)?
2.What’s the value of mean square error (MSE)?
3. Whats the value of F?
4. What’s the probability value of this result?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

You might be interested in
In choosing this year 327 voted musical and 115 voted drama. How many more students voted musical than drama
Lapatulllka [165]

Answer:

212 more student voted musical than drama .

Step-by-step explanation:

As given

In choosing this year 327 voted musical and 115 voted drama.

More students voted musical than drama = Total students voted for musical - Students voted for drama .

Putting values in the above

More students voted musical than drama = 327- 115

                                                                      = 212

Therefore 212 more student voted musical than drama .

5 0
3 years ago
According to this property, x + 0 = x.
Mumz [18]
The identity property of addition states that the sum of any number and 0 is the original number.

so...x + 0 = x would be the identity property of addition (also called the additive identity)
3 0
3 years ago
Read 2 more answers
Who Goes To Markham Middle School? If so what teachers do you have??? :3
lesya692 [45]

Answer:

Vaush

Step-by-step explanation:

7 0
3 years ago
-8(6+X) + 4(2x + 7) = 0
Talja [164]

Answer:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

3 0
2 years ago
What is the slope of the line represented by the values in the table?
Sonbull [250]
The slope would be 2. Rise over run remember that.
3 0
3 years ago
Read 2 more answers
Other questions:
  • You have the numbers 1-15 and you have to put them in order so that the adjacent one is a total sum of a perfect square. What is
    12·1 answer
  • A share of Orange stock that was worth $25 in 2000 increased exponentially to $72 in 2010. What is the annual multiplier and wha
    9·1 answer
  • Which graphs show a proportional relationship?<br><br><br><br><br> Reset
    10·2 answers
  • What is the answer to the problem?
    8·1 answer
  • Pls Answer this right away! PLS
    13·1 answer
  • Is the graph proportional or non-proportional, and if so, why?
    7·1 answer
  • The hemmings borrowed $3 000 for home improvements. They repaid the loan and $600 in simple interest four years later. What simp
    10·1 answer
  • Find the value of x.<br> 35<br> 21<br> Х<br> X=<br> = [?]<br> Help
    7·1 answer
  • Find the median of 19, 29, 36, 15, and 20. Show all the steps that you took to find your answer.​
    9·1 answer
  • Jaclyn estimates that the square root of 50 in the following way:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!