×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## Multivariate Statistical Anyls

by: Jacinto Carter Sr.

24

0

12

# Multivariate Statistical Anyls STA 7033

Marketplace > University of Texas at San Antonio > Statistics > STA 7033 > Multivariate Statistical Anyls
Jacinto Carter Sr.
UTSA
GPA 3.79

Staff

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
12
WORDS
KARMA
25 ?

## Popular in Statistics

This 12 page Class Notes was uploaded by Jacinto Carter Sr. on Thursday October 29, 2015. The Class Notes belongs to STA 7033 at University of Texas at San Antonio taught by Staff in Fall. Since its upload, it has received 24 views. For similar materials see /class/231433/sta-7033-university-of-texas-at-san-antonio in Statistics at University of Texas at San Antonio.

×

## Reviews for Multivariate Statistical Anyls

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/29/15
An Example The product manager of a consumer packaged goods is interested in identifying the major underlying factors or dimensions that the consumers use to evaluate various detergents in the marketplace These factors are assumed to be latent However the management believes that the various attributes or properties of detergents are indicators of these underlying factors A study is conducted in which 143 respondents rated three brands of detergents on 12 product attributes using a 5point semantic differential scale The 12 attributes are X1 Gentle to Fabrics X2 Won t harm colors X3 Safe for lingerie X5 strong and powerful X6 Gets dirt o t X7 Makes colors bright X8 Removes grease stains X9 Good for greasy oil X10 Pleasant and fragrance X12 Removes stubborn stains The correlation matrix of the 12 variables is as follows 00000 041901 051840 056641 018122 017454 023034 030647 024051 21192 027443 020694 41901 100000 057599 049886 018666 024648 022907 022526 021967 25879 032132 025853 51840 057599 100000 064325 029080 034428 041083 034028 032854 38828 039433 036712 56641 049886 064325 100000 038360 039637 037699 040391 042337 36564 033691 036734 18122 018666 029080 038360 100000 057915 059400 067623 069269 43873 055485 065261 17454 024648 034428 039637 057915 100000 057756 070103 062280 62174 059855 057845 23034 022907 041083 037699 059400 057756 100000 067682 068445 54175 078361 063889 30647 022526 034028 040391 067623 070103 067682 100000 069813 68589 071115 071891 24051 021967 032854 042337 069269 062280 068445 069813 100000 58579 064637 069111 21192 025879 038828 036564 043873 062174 054175 068589 058579 00000 062250 063494 27443 032132 039433 033691 055485 059855 078361 071115 064637 62250 100000 063973 20694 025853 036712 036734 065261 057845 063889 071891 069111 63494 063973 10000 9999999999999000000H The SAS System 2201 Monday October 10 2005 1 The FACTOR Procedure Correlations X1 X2 X3 X4 X1 Gentle 1 00000 041901 0 51840 0 56641 Safe for Colors Safe for synthetics Safe for lingerie Strong powerful Gets dirt out Pleasant fragrance Removes collar soil Removes stubborn stains Gentle Safe for Colors Safe for synthetics Safe for lingerie Strong powerful Gets dirt out Makes color bright Removes stubborn stains Gentle Safe for Colors Strong powerful Gets dirt out Makes color bright Removes stubborn stains ooooooooooo C ooooooob oooo C oooHoooooooo ooooooooooH oooooob ooooo mob ooooooooo ooooooooob o ooooob oooooo ob oooooooooo oooooooob oo oooob ooooooo Hooooooooooo Initial Factor Method Iterated Principal Factor Analysis Partial Correlations Controlling all other Variables entle Safe for Colors Safe for synthetics Safe for lingerie Strong powerful m m d m a H 1 Pleasant fragrance Removes collar s il Removes stubborn stains Partial Correlations Controlling all other Variables Gentle Safe for Colors Safe for synthetics Safe for lingerie Strong pow rful Gets dirt ut Makes color bright e o Removes stubborn stains Partial Correlations Controlling all other Variables Gentle Safe for Colors Strong powerful Gets dirt out Pleasant fragrance Removes collar soil 2201 Monday October 10 2005 2 X4 033660 017793 033626 100000 011112 010899 X8 022481 020363 X12 007057 003950 The SAS System The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Partial Correlations Controlling all other Variables X9 X1 0 X1 1 X12 Removes stubborn stains 018659 0 21967 003950 Kaiser39s Measure of Sampling Adequacy Overall MSA 090232687 X1 X2 X3 X4 X5 080812533 084956995 085434179 086655713 090889344 Kaiser39s Measure of Sampling Adequacy Overall MSA 090232687 X7 X8 X9 X10 X11 089279520 091414913 093994616 090557249 089337563 Prior Communality Estimates ONE Preliminary Eigenvalues Total 12 Average 1 Eigenvalue Difference Proportion Cumulative 1 630110801 448353232 05251 05251 2 181757568 115342313 01515 06766 3 066415256 009260629 00553 07319 4 057154626 001160279 00476 07795 5 055994347 011477029 00467 08262 6 044517318 002850406 0 0371 08633 7 041666913 009112093 00347 08980 8 032554820 005365656 0 0271 09251 9 027189164 001499023 0 0227 09478 10 025690141 006530464 0 0214 09692 11 019159676 001370305 0 0160 09852 12 0 17789371 0148 1 0000 2 factors will be retained by the MINEIGEN criterion 2201 Monday October 10 2005 3 X12 100000 X6 094206935 X12 094339491 Scree 7 n mmHmltmmHm 1 1 1 1 1 1 1 1 1 1 Plot of Eigenvalues The SAS System The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Number 2201 Monday October 10 2005 8 9 0 1 2 4 a n fffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotffffffquotfff 0 1 2 3 4 5 6 7 8 9 10 11 12 Ini Iteration Change 1 04042 2 01159 3 00365 4 00125 5 00047 6 00020 7 00012 8 00007 Conver Eigenvalues of the Reduced Correlation Matrix m u m m b m N H m 10 11 The SAS System 2201 Monday 0c The FACTOR Procedure tial Factor Method Iterated 061176 072831 049585 069653 045938 069283 044693 044486 067335 0 0 69 N w m 044221 069233 044023 069231 933 043 043931 067956 0 0 69 N w H 043890 069231 043905 068024 0 gence criterion satisfied Eigenvalue Difference 593762076 455332157 138429920 114396332 024033587 006761735 017271852 006557861 010713991 005948670 004765320 004722543 000042777 001567005 01524228 0 06015114 07539342 0 05367328 12906670 002363444 15270114 004328792 19598907 060321 072577 0 059579 070256 0 048889 067500 0 054502 066852 0 045532 067034 0 053878 066501 0 63316 056103 057838 7 6 63429 056074 057814 053788 066481 066724 043989 067836 0 053785 066484 066721 63530 056066 057805 053784 066485 0 7 63541 056065 057805 053783 066485 0 Principal Factor Analysis Communalities 70026 062406 063561 0 70843 64141 057055 058655 0 2 m u m 63280 056242 057953 0 66800 0 0 63498 056068 057808 0 0 m m H 0 66719 Total 732180262 Averag Proportion Cumulative 08110 08110 01891 10000 00328 10328 00236 10564 00146 10711 00065 10776 0001 10776 0 0021 10755 0 0103 10653 0 0176 10476 0 0209 10268 0 0268 10000 tober 69349 65606 65131 65061 65047 65042 65040 65039 e 0 10 2005 078943 077384 077503 077621 077672 077691 077699 077703 61015022 The SAS System 2201 Monday October 10 2005 6 The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Factor Pattern Factor1 Factor2 X1 Gentle 041117 051946 X2 Safe for Colors 042396 050922 X3 Safe for synthetics 058617 058021 X4 Safe for lingerie 060442 051971 X5 Strong powerful 072066 020325 X6 Gets dirt out 074338 015947 X7 Makes color bright 079028 016075 X8 Removes greas stains 0 85479 021532 X9 Good for greasy oil 0 80701 020260 X10 Pleasant fragrance 072506 011008 X11 Removes collar soil 080349 013877 X12 Removes stubborn stains 079382 019245 Variance Explained by Each Factor Factor1 Factor2 59376208 13842992 732192 Note Notice that for Factorl 593764117A242396A2 79382A2 And for Factor2 1384251946A250922A219245A2 Final Communality Estimates Total 7321920 X1 X2 X3 X4 X5 X6 043890121 043905350 068024206 063541456 056065489 057804688 X7 X8 X9 X10 X11 X12 065038912 077702637 069231489 053783297 066485374 066718975 Also note that 73219 4389 4391 6802 6672 The SAS System 2201 Monday October 10 2005 7 The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Residual Correlations with Uniqueness on the Diagonal X1 X2 X3 X4 Gentle 056110 001983 002401 004792 Safe for Colors 0 01983 0 56095 003202 002204 Safe for synthetics 0 02401 0 03202 031976 001258 Safe for lingerie 004792 0 02204 001258 036459 Strong powerful 0 00951 0 01537 001370 005365 Gets dirt out 004828 0 01252 000106 002994 Makes color bright 0 01110 0 02412 0 04086 001713 Removes greas stains 0 06686 0 02749 003584 000083 Go d for greasy oil 0 01393 0 01931 002696 004089 Pleasant fragrance 0 02902 0 00745 002714 001539 Removes collar oil 0 01615 0 05134 000387 007661 Removes stubborn stains 001948 001998 001347 001244 Residual Correlations with Uniqueness on the Diagonal X5 X6 X7 X8 Gentle 000951 004828 001110 006686 Safe for Colors 0 01537 0 01252 002412 002749 Safe for synthetics 0 01370 0 00106 0 04086 003584 Safe for lingerie 0 05365 0 02994 001713 000083 Strong powerful 0 43935 0 01102 000820 001646 Gets dirt out 0 01102 0 42195 0 03556 003126 Makes color bright 0 00820 0 03556 34961 003332 Removes greas stains 01646 0 03126 0 03332 022297 Good for greasy oil 0 06993 0 00943 001411 003532 Pleasant fragrance 010616 0 06519 004895 004241 Removes collar soil 005240 0 02088 0 12632 000554 Removes stubborn stains 004142 004235 001939 000108 Residual Correlations with Uniqueness on the Diagonal X9 X10 X11 X12 Gentle 001393 002902 001615 001948 Safe for Colors 0 01931 0 00745 005134 001998 Safe for synthetics 0 02696 0 02714 0 00387 001347 Safe for lingerie 004089 0 01539 0 07661 001244 Strong powerful 0 06993 0 10616 0 05240 004142 Gets dirt out 0 00943 0 06519 0 02088 004235 Makes color bright 0 01411 0 04895 0 12632 0 01939 Removes greas stains 0 03532 0 04241 0 00554 0 00108 Good for greasy oil 0 30769 0 02165 0 03017 0 01150 Pleasant fragrance 0 02165 046217 0 02464 0 03819 Removes collar soil 003017 002464 033515 002480 The SAS System The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Residual Correlations with Uniqueness on the Diagonal X9 X1 0 X1 1 Removes stubborn stains 001150 003819 002480 Root Mean Square OffDiagonal Residuals Overall 003750215 Note Small value of RTMS is betterusua11y less that X1 X2 X3 X4 X5 003297047 002540187 002442528 003685635 004717006 Root Mean Square OffDiagonal Residuals Overall 003750215 X7 X8 X9 X10 X11 004674589 003295569 003148248 004682698 005229392 Partial Correlations Controlling Factors X1 X2 X3 X1 entle 100000 003535 005669 X2 Safe for Colors 003535 100000 0 07560 X3 Safe for synthetics 0 05669 007560 1 00000 X4 Safe for lingerie 0 10596 004873 0 03685 X5 Strong powerful 0 01916 003097 0 03655 X6 Gets dirt out 0 09922 002574 0 00289 X7 Makes color bright 0 02506 005447 0 12221 X8 Removes greas stains 0 18902 007773 0 13421 X9 Go d for greasy oil 0 03353 004647 0 08594 X10 Pleasant fragrance 0 05699 0 01462 0 07060 X11 Removes collar s il 0 03723 0 11840 0 01182 X12 Removes stubborn stains 004509 004625 004130 Partial Correlations Controlling Factors X5 X6 X7 X1 Gentle 001916 009922 002506 X2 Safe for Colors 003097 002574 0 05447 X3 Safe for synthetics 003655 000289 0 12221 X4 Safe for lingerie 013406 007633 0 04797 X5 Strong powerful 100000 002558 0 02091 X6 Gets dirt out 002558 100000 0 09258 X7 Makes color bright 002091 009258 100000 X8 Removes greas stains 005258 010191 011933 2201 Monday October 10 2005 8 X12 0 33281 05 X6 003346038 X12 002559709 X4 010596 004873 0 100000 0 07980008 0 13489742 The SAS System The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Partial Correlations Controlling Factors X5 X6 X7 Good for greasy oil 019021 002616 004303 Pleasant fragrance 023560 014762 012178 Removes collar soil 013654 005552 036902 Removes stubborn stains 010833 011302 005685 Partial Correlations Controlling Factors X9 X10 X11 Gentle 003353 005699 003723 Safe for Colors 004647 0 01462 011840 Safe for synthetics 0 08594 0 07060 0 01182 Safe for lingerie 0 12209 0 03749 0 21916 Strong powerful 0 19021 0 23560 0 13654 Gets dirt out 0 02616 014762 0 05552 Makes color bright 004303 0 12178 0 36902 Removes grease stains 01348 013212 002028 Go d for greasy oil 1 00000 0 05740 0 09396 Pleasant fragrance 0 05740 1 00000 0 06262 Removes collar soil 0 09396 006262 1 00000 Removes stubborn stains 003593 009736 007427 Root Mean Square OffDiagonal Partials Overall 010081692 X1 X2 X3 X4 X5 005916177 007310973 009848195 011542647 Root Mean Square OffDiagonal Partials Overall 010081692 X7 X8 X9 X10 X11 010585056 009336387 011124544 014775855 2201 Monday October 10 2005 9 X8 013484 013212 002028 000396 X12 004509 100000 X6 0 08217613 X12 006821971 The SAS System 2201 Monday October 10 2005 10 The FACTOR Procedure Initial Factor Method Iterated Principal Factor Analysis Plot of Factor Pattern for Factorl and Factor2 Factorl 1 9 H ILG 8 FJ E 7 6 D C F 1 a c 1 987654321 0 1 2 3 4 5 6 7 8 9 10t o 1 r 2 X1A X2A X3C X4D X5E X6F X7G X8H X9I X10J X11G X12L The SAS System 2201 Monday October 10 2005 11 The FACTOR Procedure Rotation Method Varimax Orthogonal Transformation Matrix 1 2 1 088562 046441 2 046441 088562 Rotated Factor Pattern Factor1 Factor2 X1 Gentle 012290 0 65100 X2 Safe for Colors 013898 0 64787 X3 Safe for synthetics 024967 0 78607 X4 Safe for lingerie 029393 0 74096 X5 Strong powerful 073262 0 15468 X6 Gets dirt out 073241 0 20400 X7 Makes color bright 077455 022465 X8 Removes grease stains 0 85702 0 20628 X9 Good for greasy oil 0 80880 0 19536 X10 Pleasant fragrance 0 69325 0 23924 X11 Removes collar soil 0 77604 0 25025 X12 Removes stubborn stains 079240 0 19822 Variance Explained by Each Factor Factor1 Factor2 49555844 23553355 73219 Standardized Variance explained by Factor1495558412 41 Standardized Variance explained by Factor22366312197 Total standardized variance explained by the two factors 49558 236631261 Final Communality Estimates Total 7321920 X1 X2 X3 X4 X5 X6 043890121 043905350 068024206 063541456 056065489 057804688 X7 X8 X9 X10 X11 X12 065038912 077702637 069231489 053783297 066485374 066718975

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Janice Dongeun University of Washington

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com