Read the following paragraph and answer the questions that follow : A researcher has data (sample n = 500) on eight personality variables i.e. Activity, Sociability, Talkativeness, Warmth, Anxiety, Worry, Anger, and Depression. The correlation matrix was evaluated for factorability by Bartlett’s Test of Sphericity (p < .001) and KMO = .86. The eigenvalues were 3.2, 2.4, 0.54, 0.42, 0.41, 0.39, 0.37 and 0.27. She used principal component analysis instead of PAF. Using Guttman and Scree criteria retained factors. The varimax and promax rotations were used.
How many factors can be retained for rotation using Guttman and Scree criteria ?
Two
The Guttman (Kaiser-Guttman) criterion retains components whose eigenvalue exceeds 1, because such a component explains more variance than a single standardized variable. The eigenvalues are 3.2, 2.4, 0.54, 0.42, 0.41, 0.39, 0.37 and 0.27; only 3.2 and 2.4 are greater than 1, so two factors are retained.
Cattell's (1966) scree test plots eigenvalues against their order and retains the factors above the 'elbow', where the curve flattens into rubble. Here the drop from 2.4 to 0.54 is steep, after which values decline gently (0.54, 0.42, 0.41, 0.39, 0.37, 0.27), so the elbow lies after the second factor: again two factors.
This also fits the variables: Activity, Sociability, Talkativeness and Warmth suggest an extraversion factor, and Anxiety, Worry, Anger and Depression a neuroticism factor.
Hence, the answer is Two.
Similar Questions
If a frequency distribution has some extreme scores, then appropriate measure of variability will be .........
Identify the correct sequence of the following activities associated with research data :
(i) Data collection
(ii) Construction of frequency tables
(iii) Cleaning of data
(iv) Presentation of data in charts.
Codes :
Which of the following is a correct about assumption of homogeneity of variance in t-test ?
In a standardized regression analysis, the value of intercept is :
The PCA shall :
What is the percentage of variance first unrotated PCA shall explain ?
Which of the following is correct about KMO value ?
The varimax rotation shall result in :
Bartlett’s Test of Sphericity results indicate that correlation matrix of :
Which one of the following is true for factor analysis ?
Important Questions from Data Analysis - Teaching
Given below are two statements:
Statement I: In two tail test, 2.5% of the area of the normal curve falls on the right of 1.96 standard deviations above the mean and 2.5% to the left of 1.96 standard deviations below the mean.
Statement II: In one tail test, for testing the difference between large sample means, a z score of 1.64 is taken as Yardstick at the 5% level of significance.
In light of the above statements, choose the most appropriate answer from the options given below:
In a traditional extract–transform–load (ETL) workflow, data scrubbing performed during the transformation stage is:
Temperature (°C) Number of stations 0–10 1 10–20 2 20–30 3 30–40 4 40–50 5 50–60 4 60–70 3 70–80 2 80–90 1 Using the standard grouped-data interpolation formula with position 3N/4, estimate the third quartile Q₃ of the temperature distribution.
Temperature (°C) Number of stations 0–10 1 10–20 2 20–30 3 30–40 4 40–50 5 50–60 4 60–70 3 70–80 2 80–90 1 Using class midpoints, what is the estimated arithmetic mean temperature?
Temperature (°C) Number of stations 0–10 1 10–20 2 20–30 3 30–40 4 40–50 5 50–60 4 60–70 3 70–80 2 80–90 1 Using the standard grouped-data interpolation formula, what is the estimated median temperature?
