Implementation
implementation <- read.csv("C:/Users/dan luis/Downloads/implementation.csv")

describe(implementation)
## implementation 
## 
##  11  Variables      368  Observations
## --------------------------------------------------------------------------------
## Respondent 
##        n  missing distinct     Info     Mean      Gmd      .05      .10 
##      368        0      368        1    184.5      123    19.35    37.70 
##      .25      .50      .75      .90      .95 
##    92.75   184.50   276.25   331.30   349.65 
## 
## lowest :   1   2   3   4   5, highest: 364 365 366 367 368
## --------------------------------------------------------------------------------
## Curfew 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.749    4.514   0.6464 
##                                   
## Value          2     3     4     5
## Frequency      3    27   116   222
## Proportion 0.008 0.073 0.315 0.603
## --------------------------------------------------------------------------------
## Patrolling 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        2    0.707     4.62   0.4727 
##                     
## Value         4    5
## Frequency   140  228
## Proportion 0.38 0.62
## --------------------------------------------------------------------------------
## cctv 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.774    4.427   0.7712 
##                                   
## Value          2     3     4     5
## Frequency      8    44    99   217
## Proportion 0.022 0.120 0.269 0.590
## --------------------------------------------------------------------------------
## Police.visibility 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.723    4.541   0.6375 
##                                   
## Value          2     3     4     5
## Frequency      4    26   105   233
## Proportion 0.011 0.071 0.285 0.633
## --------------------------------------------------------------------------------
## Drug.programs 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        5    0.692    4.592   0.5743 
## 
## lowest : 1 2 3 4 5, highest: 1 2 3 4 5
##                                         
## Value          1     2     3     4     5
## Frequency      1     5    10   111   241
## Proportion 0.003 0.014 0.027 0.302 0.655
## --------------------------------------------------------------------------------
## BIN 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.713    4.562   0.6067 
##                                   
## Value          2     3     4     5
## Frequency      4    20   109   235
## Proportion 0.011 0.054 0.296 0.639
## --------------------------------------------------------------------------------
## D.P.hotline.numbers 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        3    0.716    4.562   0.6038 
##                             
## Value          3     4     5
## Frequency     28   105   235
## Proportion 0.076 0.285 0.639
## --------------------------------------------------------------------------------
## CPT.in.social.media 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.733    4.524   0.6517 
##                                   
## Value          2     3     4     5
## Frequency      8    19   113   228
## Proportion 0.022 0.052 0.307 0.620
## --------------------------------------------------------------------------------
## IEC 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.711    4.565   0.6051 
##                                   
## Value          2     3     4     5
## Frequency      4    20   108   236
## Proportion 0.011 0.054 0.293 0.641
## --------------------------------------------------------------------------------
## Seminars.Trainings 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        3    0.727    4.554   0.6017 
##                             
## Value          3     4     5
## Frequency     26   112   230
## Proportion 0.071 0.304 0.625
## --------------------------------------------------------------------------------
Significance
significance <- read.csv("C:/Users/dan luis/Downloads/significance.csv")

describe(significance)
## significance 
## 
##  11  Variables      368  Observations
## --------------------------------------------------------------------------------
## Respondent 
##        n  missing distinct     Info     Mean      Gmd      .05      .10 
##      368        0      368        1    184.5      123    19.35    37.70 
##      .25      .50      .75      .90      .95 
##    92.75   184.50   276.25   331.30   349.65 
## 
## lowest :   1   2   3   4   5, highest: 364 365 366 367 368
## --------------------------------------------------------------------------------
## Curfew 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        3    0.639    4.668   0.4806 
##                             
## Value          3     4     5
## Frequency     11   100   257
## Proportion 0.030 0.272 0.698
## --------------------------------------------------------------------------------
## Patrolling 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        5    0.731    4.549   0.6035 
## 
## lowest : 1 2 3 4 5, highest: 1 2 3 4 5
##                                         
## Value          1     2     3     4     5
## Frequency      1     2    18   120   227
## Proportion 0.003 0.005 0.049 0.326 0.617
## --------------------------------------------------------------------------------
## cctv.installations 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.748    4.505   0.6649 
##                                   
## Value          2     3     4     5
## Frequency      5    27   113   223
## Proportion 0.014 0.073 0.307 0.606
## --------------------------------------------------------------------------------
## Police.visibility 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        3    0.726    4.576   0.5486 
##                             
## Value          3     4     5
## Frequency     14   128   226
## Proportion 0.038 0.348 0.614
## --------------------------------------------------------------------------------
## Drug.programs 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.662    4.641   0.5112 
##                                   
## Value          2     3     4     5
## Frequency      3     8   107   250
## Proportion 0.008 0.022 0.291 0.679
## --------------------------------------------------------------------------------
## BIN 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.721    4.571   0.5742 
##                                   
## Value          2     3     4     5
## Frequency      2    16   120   230
## Proportion 0.005 0.043 0.326 0.625
## --------------------------------------------------------------------------------
## D.P.hotline.numbers 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        4    0.733    4.541   0.6199 
##                                   
## Value          1     3     4     5
## Frequency      1    26   113   228
## Proportion 0.003 0.071 0.307 0.620
## --------------------------------------------------------------------------------
## CPT.in.social.media 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        5    0.699     4.56   0.6326 
## 
## lowest : 1 2 3 4 5, highest: 1 2 3 4 5
##                                         
## Value          1     2     3     4     5
## Frequency      2     4    21   100   241
## Proportion 0.005 0.011 0.057 0.272 0.655
## --------------------------------------------------------------------------------
## IEC 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        5    0.774    4.473   0.6654 
## 
## lowest : 1 2 3 4 5, highest: 1 2 3 4 5
##                                         
## Value          1     2     3     4     5
## Frequency      1     3    25   131   208
## Proportion 0.003 0.008 0.068 0.356 0.565
## --------------------------------------------------------------------------------
## Seminars.Trainings 
##        n  missing distinct     Info     Mean      Gmd 
##      368        0        5    0.773    4.473   0.6589 
## 
## lowest : 1 2 3 4 5, highest: 1 2 3 4 5
##                                         
## Value          1     2     3     4     5
## Frequency      2     3    20   137   206
## Proportion 0.005 0.008 0.054 0.372 0.560
## --------------------------------------------------------------------------------

Correlation

Pearson r
a1 <- as.numeric(implementation$Curfew)
b1 <- as.numeric(implementation$Patrolling)
c1 <- as.numeric(implementation$cctv)
d1 <- as.numeric(implementation$Police.visibility)
e1 <- as.numeric(implementation$Drug.programs)
f1 <- as.numeric(implementation$BIN)
g1 <- as.numeric(implementation$D.P.hotline.numbers)
h1 <- as.numeric(implementation$CPT.in.social.media)
i1 <- as.numeric(implementation$IEC)
j1 <- as.numeric(implementation$Seminars.Trainings)
implement <- rbind(a1,b1,c1,d1,e1,f1,g1,h1,i1,j1)

a2 <- as.numeric(significance$Curfew)
b2 <- as.numeric(significance$Patrolling)
c2 <- as.numeric(significance$cctv)
d2 <- as.numeric(significance$Police.visibility)
e2 <- as.numeric(significance$Drug.programs)
f2 <- as.numeric(significance$BIN)
g2 <- as.numeric(significance$D.P.hotline.numbers)
h2 <- as.numeric(significance$CPT.in.social.media)
i2 <- as.numeric(significance$IEC)
j2 <- as.numeric(significance$Seminars.Trainings)
significant <- rbind(a2,b2,c2,d2,e2,f2,g2,h2,i2,j2)

cor.test(implement,significant)
## 
##  Pearson's product-moment correlation
## 
## data:  implement and significant
## t = 132.91, df = 3678, p-value < 2.2e-16
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  0.9040262 0.9151722
## sample estimates:
##      cor 
## 0.909763
hist(implement)

hist(significant)

Hypothesis Test

Null Hypothesis: H0:ρ=0
Alternate Hypothesis: Ha:ρ≠0
Level of Significance: 0.05
Decision Rule: If we have a p-value of less the 0.05 (<0.05) it is considered significant, otherwise.
Decision: Since our p-value = less than 0.01 (<0.001) is lesser than 0.05 which is the significance level, we reject the null hypothesis.
Conclusion: There is sufficient evidence to conclude that there is a significant linear relationship between x and y because the correlation coefficient is significantly different from zero. Meaning there is a significant relationship between the implementation level of the programs on peace and order employed by Police Station 4 and the level of significance of the programs on safety and protection as perceived by residents in Barangay Linao, Ormoc City.

note: Even though the Pearson correlation coefficient appears to be significant, the variables are not normally distributed and should therefore not be evaluated with the Pearson formula.

occupation <- read.csv("C:/Users/dan luis/Downloads/occupation.csv")
Occupation <- as.factor(occupation$occupation)
summarytools::freq(Occupation,report.nas = F,totals = F,headings = F)
## 
##                    Freq       %   % Cum.
## ---------------- ------ ------- --------
##         employed    166   45.11    45.11
##          student     95   25.82    70.92
##       unemployed    107   29.08   100.00
describe(Occupation)
## Occupation 
##        n  missing distinct 
##      368        0        3 
##                                            
## Value        employed    student unemployed
## Frequency         166         95        107
## Proportion      0.451      0.258      0.291

Standard dev

#Implementation

c1 <- sd(implementation$Curfew,na.rm=TRUE)
c2 <- sd(implementation$Patrolling,na.rm=TRUE)
c3 <- sd(implementation$cctv,na.rm=TRUE)
c4 <- sd(implementation$Police.visibility,na.rm=TRUE)
c5 <- sd(implementation$Drug.programs,na.rm=TRUE)
c6 <- sd(implementation$BIN,na.rm=TRUE)
c7 <- sd(implementation$D.P.hotline.numbers,na.rm=TRUE)
c8 <- sd(implementation$CPT.in.social.media,na.rm=TRUE)
c9 <- sd(implementation$IEC,na.rm=TRUE)
c10 <- sd(implementation$Seminars.Trainings,na.rm=TRUE)

#Significance
d1 <- sd(significance$Curfew,na.rm=TRUE)
d2 <- sd(significance$Patrolling,na.rm=TRUE)
d3 <- sd(significance$cctv,na.rm=TRUE)
d4 <- sd(significance$Police.visibility,na.rm=TRUE)
d5 <- sd(significance$Drug.programs,na.rm=TRUE)
d6 <- sd(significance$BIN,na.rm=TRUE)
d7 <- sd(significance$D.P.hotline.numbers,na.rm=TRUE)
d8 <- sd(significance$CPT.in.social.media,na.rm=TRUE)
d9 <- sd(significance$IEC,na.rm=TRUE)
d10 <- sd(significance$Seminars.Trainings,na.rm=TRUE)

Imp <- sample(c(c1,c2,c3,c4,c5,c6,c7,c8,c9,c10))
Sig<-sample(c(d1,d2,d3,d4,d5,d6,d7,d8,d9,d10))
df1<-data.frame(Imp,Sig)
df1
##          Imp       Sig
## 1  0.6683423 0.6046213
## 2  0.6240263 0.5667190
## 3  0.6411389 0.5311915
## 4  0.6486935 0.6880218
## 5  0.6489617 0.6416930
## 6  0.4861547 0.6506936
## 7  0.7847647 0.6924842
## 8  0.6753515 0.6840500
## 9  0.6319437 0.7016617
## 10 0.6959985 0.5685973

weighted sd

# average standard dev
## implementation
mean(Imp)
## [1] 0.6505376
# average standard dev
## implementation
mean(Sig)
## [1] 0.6329734