Consider the criminological data

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Consider the criminological data of Table 7.1 (Example 7.1):

(a) Repeat the analysis using (1) the matrix YTY and (ii) the cosine matrix (Section 2.4). Compare your results.

(b) Ahamad (1967) gives the following population values of the 13- to 19-year age group, in thousands:

Express the data of Table 7.1 per thousand and repeat the analysis using the correlation matrix. Compare your results-is there a significant change in the interpretation? Explain.

Example 7.1

Using published data for p= 18 offence categories Ahamad (1967) has carried out a principal component analysis of the number of offences committed in each category, per year, during the period 1950-1963. The variables are defined as follows and the data matrix is given in Table 7.1. Since p

Y1 = Homicide

Y2 = Woundings

Y3= Homosexual offences

Y4 = Heterosexual offences

Y5 = Breaking and entering

Y6 = Robbery

Y7 = Larceny

Y8 = Fraud and false pretence

Y9 = Receiving

Y10= Malicious injury to property

Y11 = Forgery

Y12 = Blackmail

Y13 = Assault

Y14 = Malicious damage

Y15 = Revenue laws

Y16= Intoxication laws

Y17 = Indecent exposure

Y18 = Taking motor vehicle without consent

 

Reference no: EM131059833

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