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Question

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 continuousi) Biserial
b) Both with ordinal measureii) Pearson's 'r'
c) Both with artificial dichotomyiii) Contingency coefficient
d) One continuous and other with artificial dichotomyiv) Spearman's rho
e) Two or more categoriesv) Tetrachoric 'r'
vi)Point-Biserial

The correct answer is

a-ii, b-iv, c-v, d-i, e-iii

Pearson’s r measures linear association between continuous variables (a–ii); Spearman’s rho measures rank association (b–iv). Tetrachoric correlation concerns two dichotomized latent continuous variables (c–v), and biserial correlation one continuous and one dichotomized latent variable (d–i), under their distributional assumptions. The contingency coefficient measures categorical association (e–iii). Thus a–ii, b–iv, c–v, d–i, e–iii.

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Important Questions from Measurement and Analysis of Data - Teaching

  1. While wandering in jungle, King Dushyant married Shankuntala as narrated in the "Abhigyan Shankuntalam". He gave her royal ring which could serve her identity when she would come to meet him, in future. However, she had lost the ring while going to meet him. When she arrived at Dushyant's palace, he failed to recognise her as she did not had the ring.

    Which of the following statistical error King Dushyant had committed in this narrative?

  2. Type II error in hypothesis testing is:

  3. Which level of measurement is least used in educational psychology?

  4. 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 scale

    Set 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 minute

  5. For scores drawn from a continuous reference distribution, what is the shape of the distribution of their percentile ranks?

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