library(reshape2) #  melt
library(MASS) #  lda
library(psy) #  cronbach
library(psych) # KMO
## 
## Attaching package: 'psych'
## The following object is masked from 'package:psy':
## 
##     wkappa
library(Hmisc) # correlation matrix
## Warning: package 'Hmisc' was built under R version 3.4.2
## Loading required package: lattice
## Loading required package: survival
## Loading required package: Formula
## Loading required package: ggplot2
## 
## Attaching package: 'ggplot2'
## The following objects are masked from 'package:psych':
## 
##     %+%, alpha
## 
## Attaching package: 'Hmisc'
## The following object is masked from 'package:psych':
## 
##     describe
## The following objects are masked from 'package:base':
## 
##     format.pval, round.POSIXt, trunc.POSIXt, units
library(psych) #KMO
library(Hmisc) # correlation matrix
cat("\014")  # cleans screen

rm(list=ls(all=TRUE))  # remove variables in working memory
setwd("C:/Users/Erik Ernesto Vazquez/Downloads")  # sets working directory
Study<-read.csv("CPG Companies.csv",header=T)  # reads raw data from Qualtrics

cronbach(cbind(Study$Item1,Study$Item2,Study$Item3))
## $sample.size
## [1] 75
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.5261299
## hay que revisar la encuesta, la confiabilidad de feminity es muy baja .526
Study$Fem<-Study$Item1+Study$Item2+Study$Item3
t.test(Study$Fem~Study$Gen)
## 
##  Welch Two Sample t-test
## 
## data:  Study$Fem by Study$Gen
## t = -2.3485, df = 52.805, p-value = 0.02262
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -3.3349906 -0.2623931
## sample estimates:
## mean in group H mean in group M 
##        21.96875        23.76744
## si hay diferencia entre grupos de Hombres y Mujeres (el score de hombres es menor)

cronbach(cbind(Study$Item4,Study$Item5,Study$Item6))
## $sample.size
## [1] 75
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.8388107
## confiabilidad aceptable .83 de seniority/responsabilidad
Study$Sen<-Study$Item4+Study$Item5+Study$Item6
summary(lm(Study$Sen~Study$Age))
## 
## Call:
## lm(formula = Study$Sen ~ Study$Age)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -12.832  -5.484   0.400   4.242  13.388 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  6.69743    1.88798   3.547 0.000684 ***
## Study$Age    0.32927    0.05311   6.200 3.05e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.362 on 73 degrees of freedom
## Multiple R-squared:  0.3449, Adjusted R-squared:  0.3359 
## F-statistic: 38.44 on 1 and 73 DF,  p-value: 3.049e-08
## La edad va relacionada de manera lineal con seniority/responsabilidad

cronbach(cbind(Study$Item7,Study$Item8,Study$Item9,Study$Item10))
## $sample.size
## [1] 75
## 
## $number.of.items
## [1] 4
## 
## $alpha
## [1] 0.8125039
## confiabilidad aceptable .81 general brand trust
Study$Trust<-Study$Item7+Study$Item8+Study$Item9+Study$Item10

cronbach(cbind(Study$Item12,Study$Item13,Study$Item14))
## $sample.size
## [1] 75
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.9331444
## confiabilidad aceptable .93 brand loyalty
Study$Loyalty<-Study$Item12+Study$Item13+Study$Item14

## Hypothseses Trust
t.test(Study$Trust~Study$Gen)
## 
##  Welch Two Sample t-test
## 
## data:  Study$Trust by Study$Gen
## t = -0.76651, df = 67.03, p-value = 0.4461
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -4.939788  2.198509
## sample estimates:
## mean in group H mean in group M 
##        23.18750        24.55814
summary(lm(Study$Trust~Study$Age))
## 
## Call:
## lm(formula = Study$Trust ~ Study$Age)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -16.7339  -5.6734   0.8242   5.4498  12.5499 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 23.05942    2.27984  10.114 1.57e-15 ***
## Study$Age    0.02791    0.06413   0.435    0.665    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7.683 on 73 degrees of freedom
## Multiple R-squared:  0.002587,   Adjusted R-squared:  -0.01108 
## F-statistic: 0.1894 on 1 and 73 DF,  p-value: 0.6647
## Ambos, ni la edad ni el genero impactan en la confianza


summary(lm(Study$Trust~Study$Fem))
## 
## Call:
## lm(formula = Study$Trust ~ Study$Fem)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -16.898  -5.521   0.876   5.489  12.328 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 22.24087    6.43450   3.457 0.000916 ***
## Study$Fem    0.07532    0.27708   0.272 0.786507    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7.689 on 73 degrees of freedom
## Multiple R-squared:  0.001011,   Adjusted R-squared:  -0.01267 
## F-statistic: 0.0739 on 1 and 73 DF,  p-value: 0.7865
summary(lm(Study$Trust~Study$Sen))
## 
## Call:
## lm(formula = Study$Trust ~ Study$Sen)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -17.6788  -5.3904   0.4552   5.4757  15.3105 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  20.0091     2.1307   9.391 3.46e-14 ***
## Study$Sen     0.2268     0.1114   2.035   0.0454 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7.483 on 73 degrees of freedom
## Multiple R-squared:  0.0537, Adjusted R-squared:  0.04074 
## F-statistic: 4.143 on 1 and 73 DF,  p-value: 0.04544
## Solo la seniority/responsabilidad responsabilidad percibida tiene un efecto positivo
## en la confianza general de marcas

summary(lm(Study$Trust~Study$Loyalty))
## 
## Call:
## lm(formula = Study$Trust ~ Study$Loyalty)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -17.7670  -5.6075   0.5519   5.0302  12.7839 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)   
## (Intercept)    13.8973     4.5764   3.037  0.00331 **
## Study$Loyalty   0.4396     0.1961   2.242  0.02803 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7.441 on 73 degrees of freedom
## Multiple R-squared:  0.0644, Adjusted R-squared:  0.05158 
## F-statistic: 5.025 on 1 and 73 DF,  p-value: 0.02803
## Obviamente confianza y lealtad van de la mano