Answered: INSTRUCTION: Perform an appropriate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

INSTRUCTION: Perform an appropriate statistical test using the dataset (Sheet name: Autism) if a researcher would like to determine if there is a significant difference between "Autistic," "Normal," and "Mentally Retarded"? The researcher took measurements of the serum concentration of an antigen in three groups of children (Autistic, Normal, and Mentally Retarded). Dataset for this can be retrieved on the given Excel.

1. What is the computed p-value for the given data on "Autism"? Round it off to two decimal places. Then, answer (YES or NO) if there is a significant difference in the serum concentration of antigen between "Autistic," "Normal," and "Mentally Retarded"?

2. What is the computed Mean of "Mentally Retarded" on the given data for Autism? Round it off to two decimal places.

3. What is the computed Standard Deviation of the "Autistic" group on the given data for Autism? Round it off to two decimal places.

1
2
3
4
5
6
7
8
9
10
11
121314
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
?
A
Autistic
755
385
380
215
400
343
415
360
345
450
410
435
460
360
225
365
440
820
400
170
300
325
Raw Data
B
Normal
165
390
290
435
235
345
320
330
205
375
345
305
220
270
335
305
325
245
285
370
345
230
370
285
315
195
270
305
375
220
C
Mentally
Retarded
380
510
315
565
715
380
390
245
155
335
295
200
105
105
245
Cholesterol BMI
D
E
LL
F
Autism Fruits Depression

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution