Which of the following statements are true?
(A) A desirable measure of dispersion should not be unduly affected by extreme observations.
(B) Sensitivity to extreme values by itself makes standard deviation the most reliable measure of dispersion.
(C) For in-sample ordinary least squares regression with an intercept and a nonconstant response, the coefficient of determination R² lies between 0 and 1 inclusive.
(D) Nonparametric tests generally do not require a specified parametric shape for the population distribution.
(E) A z-test cannot be applied when the population is normal.
Choose the correct answer.
(A), (C), (D) only
A and D are correct. With an intercept and nonconstant response, in-sample OLS R² lies between 0 and 1 inclusive, so the revised C is correct. Sensitivity to extremes does not itself make standard deviation the most reliable measure. A z-test can be used for a normal population when the appropriate conditions hold.
Important Questions from Measurement and Analysis of Data - Teaching
Type II error in hypothesis testing is:
Which level of measurement is least used in educational psychology?
In List I types of variables are given and in List II correlation coefficients related to them are given. Match List I and List II and choose the correct answer from the code given below.
List I
(Types of variable)
List II
(Correlation coefficient)
a) Both variables continuous i) Biserial b) Both with ordinal measure ii) Pearson's 'r' c) Both with artificial dichotomy iii) Contingency coefficient d) One continuous and other with artificial dichotomy iv) Spearman's rho e) Two or more categories v) Tetrachoric 'r' vi) Point-Biserial Match the measurement scales in Set I with the examples in Set II.
Set I
(a) Nominal scale
(b) Ordinal scale
(c) Interval scale
(d) Ratio scaleSet II
(i) Ranking students’ performances in musical events
(ii) Spelling-test scaled scores defined with equal units and an arbitrary zero
(iii) Classifying students by the type of co-curricular activity they participate in
(iv) Students’ writing speed in words per minuteFor scores drawn from a continuous reference distribution, what is the shape of the distribution of their percentile ranks?
