Why will the chi square value be large when the difference between observed and expected is...

Question

Question

Why will the chi square value be large when the difference between observed and expected is...

Why will the chi square value be large when the difference between observed and expected is large?

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

We know, the chi-square test statistic is,

= (Observed - Expected)² / Expected

Therefore, as the difference between observed and expected is large the numerator value in text statistic is also gets large and hence the the value of the test statistic becomes large.

Hence, greater differences between expected and observed data produce a larger Chi-square value.

Add a comment

Answer 2

Similar Homework Help Questions

Explain the difference between observed frequency and expected frequency as it relates to Chi-Square test.

Explain the difference between observed frequency and expected frequency as it relates to Chi-Square test.
Why square? Squaring the difference between the observed and the expected outcome does two things?

Why square? Squaring the difference between the observed and the expected outcome does two things?
-If the value of chi-square is large and cannot be accounted for based on sampling error,...

-If the value of chi-square is large and cannot be accounted for based on sampling error, the researcher should: fail to reject the null hypothesis reject the null hypothesis determine the degrees of freedom in the study observe the chi-square in the common zone. -If %Expected = 19 and N = 33, what is the value of fExpected? 6.08 0.63 6.27 5.7 -A psychology professor is studying whether a significant difference exists in the majors among students in her general...

Question 42 Chi square is zero when: Expected frequency is greater than the observed frequency O...

Question 42 Chi square is zero when: Expected frequency is greater than the observed frequency O Expected frequency is equal to the observed frequency Expected frequency is the square of the observed frequency Expected frequency is less than the observed frequency A Moving to another question will save this response.
Chi square is used with nominal data, determine whether or not a significant difference exists between...

Chi square is used with nominal data, determine whether or not a significant difference exists between the observed number and expected number of cases falling into each category. True/ False
In performing a chi-square test of independence, as the differences between respective observed and expected frequencies...

In performing a chi-square test of independence, as the differences between respective observed and expected frequencies _________, the probability of concluding that the row variable is independent of the column variable increases. A. stay the same B. decrease C. increase D. double

In a chi-square test, what would it mean if the P-value were less than 5%? a....

In a chi-square test, what would it mean if the P-value were less than 5%? a. That there is no real difference between observed and expected values. b. That there is a difference between observed and expected values. c. That any difference between observed and expected values is probably not due to random chance. d. a and c are true e. b and c are true
Given the following observed phenotypic ratios, calculate the expected phenotypic ratios and chi square values.

Given the following observed phenotypic ratios, calculate the expected phenotypic ratios and chi square values. Then evaluate the chi square value using a chi square table to accept or reject the null hypothesis at a P value of 0.05. Place the appropriate boxes in correct position in the table
Chi-Square Test for Independence Using Chi-Square, we are looking to see if there is a significant...

Chi-Square Test for Independence Using Chi-Square, we are looking to see if there is a significant difference between what we would expect results to be, and what the actual results were. That is, expected vs. observed. Use alpha = .05 Listed below are data from a survey conducted recently where Males and Females responded to their happiness with their supervisor (this is fictitious data). Response Male Female Total Not at all 23 25 48 Somewhat 13 22 35 Very 26 16 42...

question will save this response. sestion 2 If the differences between the expected and observed values...

question will save this response. sestion 2 If the differences between the expected and observed values are large, the chi-square value small cannot be determined by the given data dependent upon the degrees of freedom large Moving to another question will save this response.

Why will the chi square value be large when the difference between observed and expected is...

Homework Answers

Add Answer to:
Why will the chi square value be large when the difference between observed and expected is...

Post as a guest

Earn Coins

Explain the difference between observed frequency and expected frequency as it relates to Chi-Square test.

Why square? Squaring the difference between the observed and the expected outcome does two things?

-If the value of chi-square is large and cannot be accounted for based on sampling error,...

Question 42 Chi square is zero when: Expected frequency is greater than the observed frequency O...

Chi square is used with nominal data, determine whether or not a significant difference exists between...

In performing a chi-square test of independence, as the differences between respective observed and expected frequencies...

In a chi-square test, what would it mean if the P-value were less than 5%? a....

Given the following observed phenotypic ratios, calculate the expected phenotypic ratios and chi square values.

Chi-Square Test for Independence Using Chi-Square, we are looking to see if there is a significant...

question will save this response. sestion 2 If the differences between the expected and observed values...

Why will the chi square value be large when the difference between observed and expected is...

Homework Answers

Add Answer to: Why will the chi square value be large when the difference between observed and expected is...

Post as a guest

Earn Coins

Add Answer to:
Why will the chi square value be large when the difference between observed and expected is...