Statistics MCQs
Topic Notes: Statistics
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
Under what condition are two attributes considered to be associated in a contingency table analysis?
Answer:
Less than observed
In the context of association between attributes, the expected frequency is calculated assuming independence. If the observed frequency differs significantly from the expected frequency, an association is suggested. The provided answer choice 'Less than observed' is contextually incomplete as association can occur when observed frequencies are either greater or less than expected. This answer is provided as per the source key.
2
What is the statistical term for dividing a population into three distinct classes or categories?
Answer:
Tracheotomy
While 'tracheotomy' is a medical term, the source identifies it as the answer for dividing a population into three classes. In standard statistics, dividing a population into two classes is called dichotomy, and three classes would typically be called trichotomy. The provided answer is accepted as per the source, though it appears to be a terminology error.
3
Given the inequality (AB) > (A)(B)/n, what is the relationship between attributes A and B?
Answer:
Associated
In the study of association of attributes, two attributes A and B are considered independent if (AB) = (A)(B)/n. If (AB) > (A)(B)/n, the observed frequency of the joint occurrence is greater than what would be expected under independence, indicating a positive association between the two attributes.
4
What is the value of the coefficient of association when there is a perfect positive relationship between two variables?
Answer:
+1
A coefficient of association of +1 indicates a perfect positive linear relationship. This means that as one variable increases, the other variable increases proportionally. It represents the maximum possible value for a positive correlation, signifying that all data points lie exactly on a straight line with a positive slope.