Testing of Hypothesis

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Chi-Square Association Quiz – 2

The relationship/ dependency between the attributes is called association and the measure of degrees of relationship between the attributes is called the coefficient of association. The Chi-Square Statistic is used to test the association between the attributes. The Chi-Square Association is defined as

$$\chi^2 = \sum \frac{(of_i – ef_i)^2}{ef_i}\sim \chi^2_{v},$$

where $v$ denotes the degrees of freedom

The following is the MCQs Association Test

The quiz about Chi-Square Association between attributes.

1. The range of $\chi^2$ is

 
 
 
 

2. A $4 \times 5$ contingency table consists of ———.

 
 
 
 

3. There are ———– parameters of Chi-Square distribution.

 
 
 
 

4. If $\chi^2_c=5.8$ and $df=1$, we make the following decision ———-.

 
 
 
 

5. For $3\times 3$ contingency table the degrees of freedom is

 
 
 
 

6. The process of dividing the objects into two mutually exclusive classes is called

 
 
 
 

7. If $(AB) > \frac{(A)(B)}{n}$ then association is

 
 
 
 

8. A characteristic which varies in quality from one individual to another is called

 
 
 
 

9. The presence of an attribute is denoted by

 
 
 
 

10. The coefficient of association $Q$ lies between

 
 
 
 

11. The value of $\chi^2$ cannot be ———.

 
 
 
 

12. A contingency table with $r$ rows and $c$ columns is called

 
 
 
 

13. Two attributes $A$ and $B$ are said to be positively associated if

 
 
 
 

14. If $(AB) < \frac{(A)(B)}{n}$ then association between two attributes $A$ and $B$ is

 
 
 
 

15. The parameter of the Chi-Square distribution is ———–.

 
 
 
 

16. If for a contingency table $df=12$ and number of rows is 4 then the number of columns will be

 
 
 
 

17. Association measures the strength of the relationship between

 
 
 
 

18. For $r\times c$ contingency table, the Chi-Square test has $df=$ ———-.

 
 
 
 

19. Two attributes $A$ and $B$ are said to be independent if

 
 
 
 

20. The eye colour of 100 men is

 
 
 
 

A population can be divided into two or more mutually exclusive and exhaustive classes according to their characteristics. It is called dichotomy or twofold division if it is divided into two mutually exclusive classes. A contingency table is a two-way table in which the data is classified according to two attributes, each having two or more levels. A measure of the degree of association between attributes expressed in a contingency table is known as the coefficient of contingency. Pearson’s mean square coefficient of contingency is

\[C=\sqrt{\frac{\chi^2}{n+\chi^2}}\]

Attributes are said to be independent if there is no association between them. Independence means the presence or absence of one attribute does not affect the other. The association is positive if the observed frequency of attributes is greater than the expected frequency and negative association or disassociation (negative association) is if the observed frequency is less than the expected frequency.

MCQs Chi-Square Association

Perform another Non-Parametric Test: MCQs Non-Parametric