library(readr)
## Warning: package 'readr' was built under R version 4.3.2
wisc_bc_data <- read_csv("C:/Users/pokharel9928/Documents/wisc_bc_data.csv")
## Rows: 569 Columns: 32
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): diagnosis
## dbl (31): id, radius_mean, texture_mean, perimeter_mean, area_mean, smoothne...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
View(wisc_bc_data)

wd <- wisc_bc_data

str(wd)
## spc_tbl_ [569 × 32] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ id                     : num [1:569] 842302 842517 84300903 84348301 84358402 ...
##  $ diagnosis              : chr [1:569] "M" "M" "M" "M" ...
##  $ radius_mean            : num [1:569] 18 20.6 19.7 11.4 20.3 ...
##  $ texture_mean           : num [1:569] 10.4 17.8 21.2 20.4 14.3 ...
##  $ perimeter_mean         : num [1:569] 122.8 132.9 130 77.6 135.1 ...
##  $ area_mean              : num [1:569] 1001 1326 1203 386 1297 ...
##  $ smoothness_mean        : num [1:569] 0.1184 0.0847 0.1096 0.1425 0.1003 ...
##  $ compactness_mean       : num [1:569] 0.2776 0.0786 0.1599 0.2839 0.1328 ...
##  $ concavity_mean         : num [1:569] 0.3001 0.0869 0.1974 0.2414 0.198 ...
##  $ concave points_mean    : num [1:569] 0.1471 0.0702 0.1279 0.1052 0.1043 ...
##  $ symmetry_mean          : num [1:569] 0.242 0.181 0.207 0.26 0.181 ...
##  $ fractal_dimension_mean : num [1:569] 0.0787 0.0567 0.06 0.0974 0.0588 ...
##  $ radius_se              : num [1:569] 1.095 0.543 0.746 0.496 0.757 ...
##  $ texture_se             : num [1:569] 0.905 0.734 0.787 1.156 0.781 ...
##  $ perimeter_se           : num [1:569] 8.59 3.4 4.58 3.44 5.44 ...
##  $ area_se                : num [1:569] 153.4 74.1 94 27.2 94.4 ...
##  $ smoothness_se          : num [1:569] 0.0064 0.00522 0.00615 0.00911 0.01149 ...
##  $ compactness_se         : num [1:569] 0.049 0.0131 0.0401 0.0746 0.0246 ...
##  $ concavity_se           : num [1:569] 0.0537 0.0186 0.0383 0.0566 0.0569 ...
##  $ concave points_se      : num [1:569] 0.0159 0.0134 0.0206 0.0187 0.0188 ...
##  $ symmetry_se            : num [1:569] 0.03 0.0139 0.0225 0.0596 0.0176 ...
##  $ fractal_dimension_se   : num [1:569] 0.00619 0.00353 0.00457 0.00921 0.00511 ...
##  $ radius_worst           : num [1:569] 25.4 25 23.6 14.9 22.5 ...
##  $ texture_worst          : num [1:569] 17.3 23.4 25.5 26.5 16.7 ...
##  $ perimeter_worst        : num [1:569] 184.6 158.8 152.5 98.9 152.2 ...
##  $ area_worst             : num [1:569] 2019 1956 1709 568 1575 ...
##  $ smoothness_worst       : num [1:569] 0.162 0.124 0.144 0.21 0.137 ...
##  $ compactness_worst      : num [1:569] 0.666 0.187 0.424 0.866 0.205 ...
##  $ concavity_worst        : num [1:569] 0.712 0.242 0.45 0.687 0.4 ...
##  $ concave points_worst   : num [1:569] 0.265 0.186 0.243 0.258 0.163 ...
##  $ symmetry_worst         : num [1:569] 0.46 0.275 0.361 0.664 0.236 ...
##  $ fractal_dimension_worst: num [1:569] 0.1189 0.089 0.0876 0.173 0.0768 ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   id = col_double(),
##   ..   diagnosis = col_character(),
##   ..   radius_mean = col_double(),
##   ..   texture_mean = col_double(),
##   ..   perimeter_mean = col_double(),
##   ..   area_mean = col_double(),
##   ..   smoothness_mean = col_double(),
##   ..   compactness_mean = col_double(),
##   ..   concavity_mean = col_double(),
##   ..   `concave points_mean` = col_double(),
##   ..   symmetry_mean = col_double(),
##   ..   fractal_dimension_mean = col_double(),
##   ..   radius_se = col_double(),
##   ..   texture_se = col_double(),
##   ..   perimeter_se = col_double(),
##   ..   area_se = col_double(),
##   ..   smoothness_se = col_double(),
##   ..   compactness_se = col_double(),
##   ..   concavity_se = col_double(),
##   ..   `concave points_se` = col_double(),
##   ..   symmetry_se = col_double(),
##   ..   fractal_dimension_se = col_double(),
##   ..   radius_worst = col_double(),
##   ..   texture_worst = col_double(),
##   ..   perimeter_worst = col_double(),
##   ..   area_worst = col_double(),
##   ..   smoothness_worst = col_double(),
##   ..   compactness_worst = col_double(),
##   ..   concavity_worst = col_double(),
##   ..   `concave points_worst` = col_double(),
##   ..   symmetry_worst = col_double(),
##   ..   fractal_dimension_worst = col_double()
##   .. )
##  - attr(*, "problems")=<externalptr>
wd1 <-wd[-1]
View(wd1)

wd1$diagnosis
##   [1] "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M"
##  [19] "M" "B" "B" "B" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M"
##  [37] "M" "B" "M" "M" "M" "M" "M" "M" "M" "M" "B" "M" "B" "B" "B" "B" "B" "M"
##  [55] "M" "B" "M" "M" "B" "B" "B" "B" "M" "B" "M" "M" "B" "B" "B" "B" "M" "B"
##  [73] "M" "M" "B" "M" "B" "M" "M" "B" "B" "B" "M" "M" "B" "M" "M" "M" "B" "B"
##  [91] "B" "M" "B" "B" "M" "M" "B" "B" "B" "M" "M" "B" "B" "B" "B" "M" "B" "B"
## [109] "M" "B" "B" "B" "B" "B" "B" "B" "B" "M" "M" "M" "B" "M" "M" "B" "B" "B"
## [127] "M" "M" "B" "M" "B" "M" "M" "B" "M" "M" "B" "B" "M" "B" "B" "M" "B" "B"
## [145] "B" "B" "M" "B" "B" "B" "B" "B" "B" "B" "B" "B" "M" "B" "B" "B" "B" "M"
## [163] "M" "B" "M" "B" "B" "M" "M" "B" "B" "M" "M" "B" "B" "B" "B" "M" "B" "B"
## [181] "M" "M" "M" "B" "M" "B" "M" "B" "B" "B" "M" "B" "B" "M" "M" "B" "M" "M"
## [199] "M" "M" "B" "M" "M" "M" "B" "M" "B" "M" "B" "B" "M" "B" "M" "M" "M" "M"
## [217] "B" "B" "M" "M" "B" "B" "B" "M" "B" "B" "B" "B" "B" "M" "M" "B" "B" "M"
## [235] "B" "B" "M" "M" "B" "M" "B" "B" "B" "B" "M" "B" "B" "B" "B" "B" "M" "B"
## [253] "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "M" "B" "B" "B" "B"
## [271] "B" "B" "M" "B" "M" "B" "B" "M" "B" "B" "M" "B" "M" "M" "B" "B" "B" "B"
## [289] "B" "B" "B" "B" "B" "B" "B" "B" "B" "M" "B" "B" "M" "B" "M" "B" "B" "B"
## [307] "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "M" "B" "B" "B" "M" "B" "M"
## [325] "B" "B" "B" "B" "M" "M" "M" "B" "B" "B" "B" "M" "B" "M" "B" "M" "B" "B"
## [343] "B" "M" "B" "B" "B" "B" "B" "B" "B" "M" "M" "M" "B" "B" "B" "B" "B" "B"
## [361] "B" "B" "B" "B" "B" "M" "M" "B" "M" "M" "M" "B" "M" "M" "B" "B" "B" "B"
## [379] "B" "M" "B" "B" "B" "B" "B" "M" "B" "B" "B" "M" "B" "B" "M" "M" "B" "B"
## [397] "B" "B" "B" "B" "M" "B" "B" "B" "B" "B" "B" "B" "M" "B" "B" "B" "B" "B"
## [415] "M" "B" "B" "M" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "M" "B"
## [433] "M" "M" "B" "M" "B" "B" "B" "B" "B" "M" "B" "B" "M" "B" "M" "B" "B" "M"
## [451] "B" "M" "B" "B" "B" "B" "B" "B" "B" "B" "M" "M" "B" "B" "B" "B" "B" "B"
## [469] "M" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "M" "B" "B" "B" "B" "B" "B"
## [487] "B" "M" "B" "M" "B" "B" "M" "B" "B" "B" "B" "B" "M" "M" "B" "M" "B" "M"
## [505] "B" "B" "B" "B" "B" "M" "B" "B" "M" "B" "M" "B" "M" "M" "B" "B" "B" "M"
## [523] "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "M" "B" "M" "M" "B" "B" "B"
## [541] "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B" "B"
## [559] "B" "B" "B" "B" "M" "M" "M" "M" "M" "M" "B"
table(wd1$diagnosis)
## 
##   B   M 
## 357 212
prop.table(table(wd1$diagnosis))
## 
##         B         M 
## 0.6274165 0.3725835
summary(wd1[c("radius_mean","area_mean", "smoothness_mean")])
##   radius_mean       area_mean      smoothness_mean  
##  Min.   : 6.981   Min.   : 143.5   Min.   :0.05263  
##  1st Qu.:11.700   1st Qu.: 420.3   1st Qu.:0.08637  
##  Median :13.370   Median : 551.1   Median :0.09587  
##  Mean   :14.127   Mean   : 654.9   Mean   :0.09636  
##  3rd Qu.:15.780   3rd Qu.: 782.7   3rd Qu.:0.10530  
##  Max.   :28.110   Max.   :2501.0   Max.   :0.16340
normalize <- function(x){
  return( (x-min(x))/ (max(x)- min(x)))
  
}

normalize(c(1,2,3,4,5))
## [1] 0.00 0.25 0.50 0.75 1.00
normalize(c(1,10,100))  
## [1] 0.00000000 0.09090909 1.00000000
wd_n <- as.data.frame(lapply(wd1[2:31],normalize))
summary(wd_n[c("radius_mean","area_mean", "smoothness_mean")])
##   radius_mean       area_mean      smoothness_mean 
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.2233   1st Qu.:0.1174   1st Qu.:0.3046  
##  Median :0.3024   Median :0.1729   Median :0.3904  
##  Mean   :0.3382   Mean   :0.2169   Mean   :0.3948  
##  3rd Qu.:0.4164   3rd Qu.:0.2711   3rd Qu.:0.4755  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000
wd1$diagnosis <- factor(wd1$diagnosis, levels = c("B","M"), labels = c("Benign", "Malignant"))
str(wd1$diagnosis)
##  Factor w/ 2 levels "Benign","Malignant": 2 2 2 2 2 2 2 2 2 2 ...
wd1_train<-wd_n[1:469,]
wd1_test <- wd_n[470:569, ]

wd1_train_labels<-wd1[1:469,1]
wd1_test_labels <- wd1[470:569,1 ]
head(wd1_test_labels)
## # A tibble: 6 × 1
##   diagnosis
##   <fct>    
## 1 Benign   
## 2 Benign   
## 3 Benign   
## 4 Benign   
## 5 Benign   
## 6 Benign
sqrt(469)
## [1] 21.65641
library(class)
## Warning: package 'class' was built under R version 4.3.3
wd1_test_pred <- knn(train = wd1_train, test = wd1_test,
                     cl= wd1_train_labels$diagnosis, k=21)

wd1_test_pred
##   [1] Benign    Benign    Benign    Benign    Benign    Benign    Benign   
##   [8] Benign    Benign    Benign    Malignant Benign    Benign    Benign   
##  [15] Benign    Benign    Benign    Benign    Malignant Benign    Benign   
##  [22] Benign    Benign    Malignant Benign    Benign    Benign    Benign   
##  [29] Benign    Malignant Malignant Benign    Malignant Benign    Malignant
##  [36] Benign    Benign    Benign    Benign    Benign    Malignant Benign   
##  [43] Benign    Malignant Benign    Benign    Benign    Malignant Malignant
##  [50] Benign    Benign    Benign    Malignant Benign    Benign    Benign   
##  [57] Benign    Benign    Benign    Benign    Benign    Benign    Benign   
##  [64] Benign    Malignant Benign    Malignant Malignant Benign    Benign   
##  [71] Benign    Benign    Benign    Benign    Benign    Benign    Benign   
##  [78] Benign    Benign    Benign    Benign    Benign    Benign    Benign   
##  [85] Benign    Benign    Benign    Benign    Benign    Benign    Benign   
##  [92] Benign    Benign    Malignant Malignant Malignant Malignant Malignant
##  [99] Malignant Benign   
## Levels: Benign Malignant
library(gmodels)
## Warning: package 'gmodels' was built under R version 4.3.3
CrossTable(x = wd1_test_labels$diagnosis, y = wd1_test_pred, prop.chisq = FALSE)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  100 
## 
##  
##                           | wd1_test_pred 
## wd1_test_labels$diagnosis |    Benign | Malignant | Row Total | 
## --------------------------|-----------|-----------|-----------|
##                    Benign |        77 |         0 |        77 | 
##                           |     1.000 |     0.000 |     0.770 | 
##                           |     0.975 |     0.000 |           | 
##                           |     0.770 |     0.000 |           | 
## --------------------------|-----------|-----------|-----------|
##                 Malignant |         2 |        21 |        23 | 
##                           |     0.087 |     0.913 |     0.230 | 
##                           |     0.025 |     1.000 |           | 
##                           |     0.020 |     0.210 |           | 
## --------------------------|-----------|-----------|-----------|
##              Column Total |        79 |        21 |       100 | 
##                           |     0.790 |     0.210 |           | 
## --------------------------|-----------|-----------|-----------|
## 
##