I don't have data on it. this is the all the assignment provide The school system of a major city wanted to determine the characteristics
I don't have data on it. this is the all the assignment provide
The school system of a major city wanted to determine the characteristics of a great teacher, and so they asked 120 students to rate the importance of each of the following 9 criteria using a Likert scale of 1 to 10 with 10 representing that a particular characteristic is extremely important and 1 representing that the characteristic is not importa
- Setting high expectations for the students
- Entertaining
- Able to communicate effectively
- Having expertise in their subject
- Able to motivate
- Caring
- Charismatic
- Having a passion for teaching
- Friendly and easy-going
Review Outputs 1, 2, and 3 in order to answer the following questions:
- (5 points) Based on our discussions in class which of the 9 variables should be included in a Principal Components Analysis and why?
- (5 points) If data reduction is the purpose of the analysis. How many components should be selected and why?
- (6 points) If researchers decided to use your component selection from (b.) for interpretation, describe and evaluate the challenges that they may face and possible ways to remedy the issue(s) identified.
- (6 points) Compare and discuss your results from (b.) with the output from the Variable Clustering analysis.
Output 1- All 9 variables Scree Plot Expect Entertain Comm Expert Motivate Caring Chanisma Passion Friendy Expect 0000 -0.1766 0.028 0.1206 0.1472 0.1062 -00219 -0.1298 03440 ntertain 0.1765 10000 0.4378 0.0485 0.2441 0.1167 04507 03793 04009 Comm00728 04378 10000 0.1407 0.2995 0.1177 0.7414 03817 00043 Expert 01205 0.0485 0.1407 000 0.1943 0.0461 02473 02580 0.1859 Motivate 0.1472 0.2441 0.2995 0.1943 1.0000 0.2844 0.3443 03265 0.0373 Caring 0.1052 0.11577 00461 0.2844 10000 0.023 01952 00553 hasma 00219 0.4507 0.7414 0.2473 0.3443 0.1023 .0000 04388 0.1031 Passion 0.1298 0.373 0.3817 0.250 0.3265 0.1962 04388 1.0000 00885 riendly 03440 0.4009 003 0859 0.0373 0.0553 0.031 00885 1.0000 The correlations are estimated by Row-wise method 8 0 Kaiser's lMeasure of Sampling Adequacy Overall MSA 0.66171945 Expect Entertain Comm Expert Motivate CarngCharisma Passion Friendly 0.46463471 0.70809593 0.67397669 0.45129151 0.80484337 0.67205606 0,70239978 0.81321248 044048675 Loading Matrix Prin1 Prin2Prin3 Prin4 Prin5 Prin6Prin7 Prin8 Prin9 Expect -0.18737 0.75873 0.30381 0.10356 0.35720 0.09716 0.34558 0.16729-0 Entertain 0.69496 -0.31059 0.18228 -0.26808 0.29412 0.01507 0.32596 -0.34929 0.0 Comm0.75481 0.34277 0.17940 -0.31685 0.01653 0.09937-0.22998 0.06294 0.33766 Expert 0.26129 0.15407 0.24069 0.94297 0.01664 Motivate 0.58305 0.05781 -0.43652 0.17652 0.36071 0.45019 031476 0.05528 Caring 0.30486 0.04909-0.76696 0.10360 0.52603 Chanisma 0.81418 0.23315 0.19981 -0.17209 -0.07253 0.07736 -0.27776 0.06386 -0.34747 Passion 0.69201 0.04278 -0.09571 0.11668 -0.16532 -0.62626 0.22727 0.15829 Friendly 0.29937-0.74985 0.33572 0.21773 0.22523 0.13905 0.01667 0.33340 0.02909 1 0.16324 0.21950 0.04582 0.16271 0.04037 4 Eigenvalues A Varimax Rolulion wus perloimed lor 2 omponculs Number Eigenvalue Percent 20 40 60 80 Cum Percent Rotated Factor Loading 2.8826 32.029 1.4376 15.973 1.1559 12.843 1.0261 11.401 0.7048 7.832 0.570413 0.822744-O.101577 Motivate 0.119036 0.946650 0.673175 0.020767 0.165943 0.805043 Output 3 - 7 variables (Friendly and Expect removed) Loading Matrix Prin1Prin Prin3 Prin4 Prin5Prin6Prin 0.65325 -0.26207 -0.29949 0.39535 -0.15753 0.48340 0. Kaiser's Measure of Sampling Adequacy: Overall MSA 0.74749113 Entertain Comm Expert Motivate Caring Charisma Passion 0.85058260 0.696196620.68224050 0.82568846 0.68274755 0.69276195 0.83986108 Ente Comm0.79116 -0.32548 -0.08986 -0.29488 0.23668 -0.08400 0.33170 Expert 0.36286 0.24675 0.84360 0.06107 0.14461 0.26256 0.04693 Motivate 0.59071 0.44590 Caring 0.317140.74695-0.39720 0.04259 0.41962 0.07393 -0.01895 Charisma 0.83362 -0.28012 0.04351 -0.23903 0.17192 0.06022 -0.36660 Passion 0.69668 0.10392 0.10567 0.49969 0.11071 -0.47964 0.35464 -0.56897 0.02761 0.01828 0.02155 Eigenvalues A Varimax Rotation was performed for 2 components: Number Eigenvalue Percent 20 40 60 80 Cum Percent 40.202 55.652 69.683 79.417 88.608 96.459 100.000 2.8141 40.202 1.0815 15.450 0.9821 14.030 0.6814 9.734 0.64349.191 0.5496 7.851 0.2479 3.541 A Rotated Factor Loading 2 Factor 1 Factor 2 Entertain 0.696682 0.100241 0.847806 0.114415 0.190538 0.395280 Motivate 0.288051 0.681752 Caringy-0.099496 0.805364 Charisma 0.861851 0.174937 0.551014 0.438795 Comm Expert Scree Plot 3.5 3.0 2.5 2.0 Passion A Varimax Rotation was performed for 3 components 4 Rotated Factor Loading 1.0 0.5 0.0 Factor 1 Factor 2 Factor 3 Entrtain 0.740267 0.136992 -0.135456 0.060152 0.083979 0.948208 Motivate 0.312429 0.620280 0.258938 0.900070 -0.078311 Charisma 0.847096 0.066635 0.230808 Passion 0.538653 0.317228 0.341695 Comm Expert 0.853973 0.057065 0.043144 -0.5 Ca ring 0.004776 0 2 6 8 Number of Components Output 1- All 9 variables Scree Plot Expect Entertain Comm Expert Motivate Caring Chanisma Passion Friendy Expect 0000 -0.1766 0.028 0.1206 0.1472 0.1062 -00219 -0.1298 03440 ntertain 0.1765 10000 0.4378 0.0485 0.2441 0.1167 04507 03793 04009 Comm00728 04378 10000 0.1407 0.2995 0.1177 0.7414 03817 00043 Expert 01205 0.0485 0.1407 000 0.1943 0.0461 02473 02580 0.1859 Motivate 0.1472 0.2441 0.2995 0.1943 1.0000 0.2844 0.3443 03265 0.0373 Caring 0.1052 0.11577 00461 0.2844 10000 0.023 01952 00553 hasma 00219 0.4507 0.7414 0.2473 0.3443 0.1023 .0000 04388 0.1031 Passion 0.1298 0.373 0.3817 0.250 0.3265 0.1962 04388 1.0000 00885 riendly 03440 0.4009 003 0859 0.0373 0.0553 0.031 00885 1.0000 The correlations are estimated by Row-wise method 8 0 Kaiser's lMeasure of Sampling Adequacy Overall MSA 0.66171945 Expect Entertain Comm Expert Motivate CarngCharisma Passion Friendly 0.46463471 0.70809593 0.67397669 0.45129151 0.80484337 0.67205606 0,70239978 0.81321248 044048675 Loading Matrix Prin1 Prin2Prin3 Prin4 Prin5 Prin6Prin7 Prin8 Prin9 Expect -0.18737 0.75873 0.30381 0.10356 0.35720 0.09716 0.34558 0.16729-0 Entertain 0.69496 -0.31059 0.18228 -0.26808 0.29412 0.01507 0.32596 -0.34929 0.0 Comm0.75481 0.34277 0.17940 -0.31685 0.01653 0.09937-0.22998 0.06294 0.33766 Expert 0.26129 0.15407 0.24069 0.94297 0.01664 Motivate 0.58305 0.05781 -0.43652 0.17652 0.36071 0.45019 031476 0.05528 Caring 0.30486 0.04909-0.76696 0.10360 0.52603 Chanisma 0.81418 0.23315 0.19981 -0.17209 -0.07253 0.07736 -0.27776 0.06386 -0.34747 Passion 0.69201 0.04278 -0.09571 0.11668 -0.16532 -0.62626 0.22727 0.15829 Friendly 0.29937-0.74985 0.33572 0.21773 0.22523 0.13905 0.01667 0.33340 0.02909 1 0.16324 0.21950 0.04582 0.16271 0.04037 4 Eigenvalues A Varimax Rolulion wus perloimed lor 2 omponculs Number Eigenvalue Percent 20 40 60 80 Cum Percent Rotated Factor Loading 2.8826 32.029 1.4376 15.973 1.1559 12.843 1.0261 11.401 0.7048 7.832 0.570413 0.822744-O.101577 Motivate 0.119036 0.946650 0.673175 0.020767 0.165943 0.805043 Output 3 - 7 variables (Friendly and Expect removed) Loading Matrix Prin1Prin Prin3 Prin4 Prin5Prin6Prin 0.65325 -0.26207 -0.29949 0.39535 -0.15753 0.48340 0. Kaiser's Measure of Sampling Adequacy: Overall MSA 0.74749113 Entertain Comm Expert Motivate Caring Charisma Passion 0.85058260 0.696196620.68224050 0.82568846 0.68274755 0.69276195 0.83986108 Ente Comm0.79116 -0.32548 -0.08986 -0.29488 0.23668 -0.08400 0.33170 Expert 0.36286 0.24675 0.84360 0.06107 0.14461 0.26256 0.04693 Motivate 0.59071 0.44590 Caring 0.317140.74695-0.39720 0.04259 0.41962 0.07393 -0.01895 Charisma 0.83362 -0.28012 0.04351 -0.23903 0.17192 0.06022 -0.36660 Passion 0.69668 0.10392 0.10567 0.49969 0.11071 -0.47964 0.35464 -0.56897 0.02761 0.01828 0.02155 Eigenvalues A Varimax Rotation was performed for 2 components: Number Eigenvalue Percent 20 40 60 80 Cum Percent 40.202 55.652 69.683 79.417 88.608 96.459 100.000 2.8141 40.202 1.0815 15.450 0.9821 14.030 0.6814 9.734 0.64349.191 0.5496 7.851 0.2479 3.541 A Rotated Factor Loading 2 Factor 1 Factor 2 Entertain 0.696682 0.100241 0.847806 0.114415 0.190538 0.395280 Motivate 0.288051 0.681752 Caringy-0.099496 0.805364 Charisma 0.861851 0.174937 0.551014 0.438795 Comm Expert Scree Plot 3.5 3.0 2.5 2.0 Passion A Varimax Rotation was performed for 3 components 4 Rotated Factor Loading 1.0 0.5 0.0 Factor 1 Factor 2 Factor 3 Entrtain 0.740267 0.136992 -0.135456 0.060152 0.083979 0.948208 Motivate 0.312429 0.620280 0.258938 0.900070 -0.078311 Charisma 0.847096 0.066635 0.230808 Passion 0.538653 0.317228 0.341695 Comm Expert 0.853973 0.057065 0.043144 -0.5 Ca ring 0.004776 0 2 6 8 Number of Components
