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
sweet-ann [11.9K]
3 years ago
5

Given the following data from a repeated-measures design study examining the effect of a treatment by measuring a group of 9 par

ticipants before and after they received treatment:
Participant Before After
A 8 7
B 7 5
C 6 6
D 7 6
E 9 7
F 8 5
G 5 4
H 9 4
I 7 4
a. Calculate the difference scores and MD.
b. Compute SS, sample variance, and estimated standard error.
c. Is there a significant treatment effect?
Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

MD = 2

SS = 18

SAMPLE VARIANCE = 2.25

STANDARD ERROR = 0.5

Step-by-step explanation:

Given :

A 8 7

B 7 5

C 6 6

D 7 6

E 9 7

F 8 5

G 5 4

H 9 4

I 7 4

Difference, d = Before - After

______ d

A 8 7 __ 1

B 7 5 __ 2

C 6 6 __ 0

D 7 6 __ 1

E 9 7 __ 2

F 8 5 __ 3

G 5 4 __ 1

H 9 4 __5

I 7 4 ___3

The mean of difference, MD ;

MD = Σd/ n = (1+2+0+1+2+3+1+5+3) / 9 = 18 / 9 = 2

The sum of square, SS ;

(1 - 2)^2 + (2 - 2)^2 + (0 - 2)^2 + (1 - 2)^2 + (2 - 2)^2 + (3 - 2)^2 + (1 - 2)^2 + (5 - 2)^2 + (3 - 2)^2 = 18

Sample variance, S² = SS/(N-1) = 18 / (9 - 1) = 18 / 8 = 2.25

Sample standard deviation, S = √Variance = √2.25 = 1.5

Standard Error, S.E = S / √n = 1.5 / √9 = 0.5

Test statistic : MD / S.E = 2 / 0.5 = 4

We test at α = 0.05 since no α - value is stated in the question.

Critical value at 0.05, df = 8 ;

Critical value = 2.306

Since; Test statistic > Critical value, then result is significant at α = 0.05

You might be interested in
6ft to 6yd in unit rate
luda_lava [24]
Just change feet into yards and multiply it
3 0
3 years ago
Explanatory writing that explores the relationship between an action and its consequence ____________
yawa3891 [41]
Explanatory research is research conducted in order to explain any behaviour
6 0
3 years ago
Read 2 more answers
Lesson Goals
butalik [34]

स्ज्द्ज्ज्ग्जेज्दिविफ्ज्र्ज्स्ज्स्ज्ग्झ्क्व्जेफिक

6 0
3 years ago
When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,<br> the result is
Evgen [1.6K]

Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10

8 0
3 years ago
Points + brainliest :)))))))))))))))))00
Musya8 [376]
What is popping mY gUy
8 0
3 years ago
Read 2 more answers
Other questions:
  • If rudy offers oscar $200 for his laptop valued at $600 and oscar agrees, a court will probably
    12·1 answer
  • How many 5-a-side football teams can you make from 31 children ?
    12·1 answer
  • If i have 250 ft. and subtract 12ft. 9 in. ?​
    12·1 answer
  • What is the slope of a line perpendicular to a line with equation 6x-4y=30
    7·1 answer
  • If you need 10.5 trees for 5 cabins,then how many do you need for 3 cabins?
    15·1 answer
  • One letter is randomly selected from the word MATH, and a second letter is randomly selected from the word JOKES. What is the pr
    12·1 answer
  • Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the prob
    12·1 answer
  • Lewis scored 0.15 of the points in a basketball game. How many of the team's 120 points did Lewis score
    7·1 answer
  • which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?
    13·2 answers
  • What is the degree of the polynomial below?<br> 4x3+3x2+6x+5<br> A. 2<br> B. 1<br> C. 3<br> D. 0
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!