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
RSB [31]
2 years ago
14

Suppose we want to select between two prediction models M1 and M2. We have performed 10-fold cross validation on each. The error

rates obtained for M1 are 30.5, 32.2, 20.7, 20.6,31.0, 41.0, 27.7, 26.0, 21.5, 26.0. The error rates for M1 are 22.4, 14.5, 22.4, 19.6,20.7, 20.4, 22.1, 19.4, 16.2, 35.0.
Is one model significantly better than the other considering a significance level of 1%.?
Computers and Technology
1 answer:
Ksivusya [100]2 years ago
6 0

Answer:

Since the calculated t value does not fall in the critical region we accept H0 and  conclude that  one model is not significantly better than the other at 1% level of significance.

Explanation:

When the observations from two samples are paired either naturally or by design , we find the difference between two observations of each pair. Treating the differences as a random sample from a normal population with mean μd =μ1-μ2 and unknown standard deviation σd we perform one sample t- test on them. This is called paired difference t- test.

M1               M2           Difference            d²

                                  d= (M1-M2)

30.5,         22.4,         8.1                       65.61          

32.2,       14.5,           17.7                      313.29

20.7,       22.4,          -1.7                       8.3521

20.6,       19.6,             1.0                        1

31.0,       20.7,             10.3                     106.09

41.0,      20.4,             20.6                    424.36

27.7,      22.1,              5.6                      31.36

26.0,      19.4,            6.6                         43.56

21.5,       16.2,            5.3                         28.09                    

<u>26.0.       35.0.            -9.0                      81.0          </u>

<u>∑ 329.2     213.1           64.5                    1102.7121</u>

<u />

<u>Now </u>

d` = ∑di/n = 64.5/10= 6.45

sd² = ∑(di-d`)²/n-1= 1/n-1 [ ∑di²- (∑di)²/n]

     =1/9[ 1102.7121 - (64.5)²/10 ]

       =[1102.7121 - 416.025/9]

       = 79.298

sd= 8.734

We state our null and alternate hypotheses as

H0 : μd= 0   and Ha: μd≠0

The significance level is set at ∝ = 0.01

The test statistic under H0  is

t= d`/ sd/√n

which has a t distribution with n-1 degrees of freedom.

The critical region is  t ≥ t (0.005,9)= 3.250

Calculating t

t= 6.45 / 8.734/ √10

t = 6.45 / 8.734/3.162

t= 6.45 / 2.7621

t= 2.335

Since the calculated t value does not fall in the critical region we accept H0 and  conclude that  one model is not significantly better than the other at 1% level of significance.

You might be interested in
Sarah has prepared a project document about the small and medium-sized companies in the United States. While proofreading, she r
erik [133]
The answer is F7. When you click F7 it highlights key words.<span />
3 0
3 years ago
Read 2 more answers
Production cost can be reduced using technology. Explain
Black_prince [1.1K]

Explanation:

By reducing the time the use on unnecessary tasks. And you would be able to operate on using your time on beneficial tasks

3 0
3 years ago
Who do we make games for?(single term)
Ket [755]

Answer:

Gamers

Explanation:

5 0
3 years ago
Read 2 more answers
Now, we’re ready to program! Leave the visualizer and go back to https://repl.it/ to write your program. Here is the pseudocode
svlad2 [7]

Answer:

here

Explanation:

6 0
2 years ago
Program _______ graphically present the detailed sequence of steps needed to solve a programming problem.
AlekseyPX

Program Pseudocode graphically present the detailed sequence of steps needed to solve a programming problem.

<h3>What are Pseudocode?</h3>

These are known to be a set of codes that a program has graphically depicted all of its sequence of steps that can be sued to handle a programming problem.

Note that Pseudocode is a form of artificial and man made informal language that is often used by programmers to create  algorithms.

Learn more about Program from

brainly.com/question/153827

#SPJ1

3 0
2 years ago
Other questions:
  • How can you keep your files organized on your computer?
    13·2 answers
  • Write a class called SimpleSquare that has the following properties: - public int field called num - private int field called sq
    13·1 answer
  • An array of integers named parkingTickets has been declared and initialized to the number of parking tickets given out by the ci
    14·1 answer
  • How to find how much storage is left on pc?
    6·1 answer
  • Why is it difficult to enforce laws against intellectual theft?
    9·1 answer
  • A variable that can have values only in the range 0 to 65535 is a :
    5·1 answer
  • What does not stand for​
    15·2 answers
  • A occurs when you reset a mobile device but retain your installed applications and personal settings
    10·2 answers
  • 5.7 AP-Style MC Practice edhessive
    14·1 answer
  • Who has more Tanks? Russia or USA? You get ti right and you get BRAINLIEST
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!