1. Introduction

The goal of this assignment is to apply a variety of data preprocessing tasks to a series of datasets. For the purposes of this report, we have considered three IMDB Movie datasets, two sourced from the Relational Dataset Repository and another sourced from Kaggle.

The first two datasets have been extracted from a relational database with the schema shown below. Specifically, only the movies table and the movies_genre table are considered in this report.

IMDB Database Movie Schema sourced from the Relational Dataset Repository

IMDB Database Movie Schema sourced from the Relational Dataset Repository

The rest of this report is organised as follows. Section 2 explores the completion of tasks 1-9 which are completed using the dataset sourced from the Relational Database Repository. Section 3 explores Task 10 which is completed using a combination of the data used in the previous section and the data sourced from Kaggle.

2. Tidy and Manipulate

After extraction from the database, the movies and movies_genres tables are in .csv format and so the read_csv() function from the readr package can be used to import this data into R.

Preliminaries

# Load required packages
library(readr)
library(dplyr)
library(tidyr)
library(ggplot2)
library(outliers)
#Loading in the data
movies <- read_csv("movies.csv")
movies_genres <- read_csv("movies_genres.csv")

The structure and dimensions of these datasets can be seen below.

The movies dataset contains 388269 observations(rows) and has 4 variables(columns). These variables are id, name, year and rank. On the other hand, the movies_genres dataset contains 395119 observation and 2 variables. These variables are movied_id and genre. The specifics of these variables are described in detail in this section of this report.

#Check on the structure and dimensions of the data frames
# Movies dataset
str(movies)
Classes ‘tbl_df’, ‘tbl’ and 'data.frame':   388269 obs. of  4 variables:
 $ id  : int  0 1 2 3 4 5 6 7 8 9 ...
 $ name: chr  "#28" "#7 Train: An Immigrant Journey, The" "$" "$1,000 Reward" ...
 $ year: int  2002 2000 1971 1913 1915 1923 1971 1920 1921 1915 ...
 $ rank: chr  "NULL" "NULL" "6.4" "NULL" ...
 - attr(*, "spec")=List of 2
  ..$ cols   :List of 4
  .. ..$ id  : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ name: list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ year: list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ rank: list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  ..$ default: list()
  .. ..- attr(*, "class")= chr  "collector_guess" "collector"
  ..- attr(*, "class")= chr "col_spec"
dim(movies)
[1] 388269      4
# Movie Genres dataset
str(movies_genres)
Classes ‘tbl_df’, ‘tbl’ and 'data.frame':   395119 obs. of  2 variables:
 $ movie_id: int  1 1 2 2 5 6 6 8 8 8 ...
 $ genre   : chr  "Documentary" "Short" "Comedy" "Crime" ...
 - attr(*, "spec")=List of 2
  ..$ cols   :List of 2
  .. ..$ movie_id: list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ genre   : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  ..$ default: list()
  .. ..- attr(*, "class")= chr  "collector_guess" "collector"
  ..- attr(*, "class")= chr "col_spec"
dim(movies_genres)
[1] 395119      2
# View the movies dataset
head(as.data.frame(movies))
  movie_id                                name year rank
1        0                                 #28 2002 NULL
2        1 #7 Train: An Immigrant Journey, The 2000 NULL
3        2                                   $ 1971  6.4
4        3                       $1,000 Reward 1913 NULL
5        4                       $1,000 Reward 1915 NULL
6        5                       $1,000 Reward 1923 NULL
# View the movies_genres dataset
head(as.data.frame(movies_genres))
  movie_id       genre
1        1 Documentary
2        1       Short
3        2      Comedy
4        2       Crime
5        5     Western
6        6      Comedy

In order to merge both datasets, we rename the id variable in the movies dataset to movie_id using the names function from Base R. These datasets can now be merged using the mutual variable movie_id now present in both datasets.

# Join both datasets
# Rename the movies dataset id variable#
names(movies)[1]<-"movie_id"
movies_combined <- merge(movies,movies_genres, by="movie_id")

The structure and dimensions of this combined dataset, movies_combined can be seen below. This dataset has 395119 observations and 5 variables which are discussed briefly below.

# Checking on the structure and dimensions of the merged dataset
str(movies_combined)
'data.frame':   395119 obs. of  5 variables:
 $ movie_id: int  1 1 2 2 5 6 6 8 8 8 ...
 $ name    : chr  "#7 Train: An Immigrant Journey, The" "#7 Train: An Immigrant Journey, The" "$" "$" ...
 $ year    : int  2000 2000 1971 1971 1923 1971 1971 1921 1921 1921 ...
 $ rank    : chr  "NULL" "NULL" "6.4" "6.4" ...
 $ genre   : chr  "Documentary" "Short" "Comedy" "Crime" ...
dim(movies_combined)
[1] 395119      5
# View the movies_combined dataset
head(movies_combined)
  movie_id                                name year rank       genre
1        1 #7 Train: An Immigrant Journey, The 2000 NULL Documentary
2        1 #7 Train: An Immigrant Journey, The 2000 NULL       Short
3        2                                   $ 1971  6.4      Comedy
4        2                                   $ 1971  6.4       Crime
5        5                       $1,000 Reward 1923 NULL     Western
6        6                     $1,000,000 Duck 1971    5      Comedy

As seen above, there are 5 variables present and each is described briefly below:

movie_id - A unique identifier assigned to every movie present in the IMDB database. It has been read in as an integer.

name - The name of a movie in the database. This has been read in as a character.

year - This variable describes the year a movie was produced. It has been read in as an integer.

rank - This describes the overall rating given to a movie. It has been read in as a character but should be a numeric variable.

genre - This variable describes the classification given to a movie. It has been read in as a character but should be a factor.

These variables are renamed to be slightly more meaningful and thereafter converted to their appropriate types.

# Rename combined variables of the combined dataset
names(movies_combined)[2]<-"movie_name"
names(movies_combined)[3]<-"year_released"
names(movies_combined)[4]<-"movie_rating"
# Convert variable types
movies_combined$movie_rating<-as.numeric(movies_combined$movie_rating)
NAs introduced by coercion
class(movies_combined$movie_rating)
[1] "numeric"
head(movies_combined$movie_rating)
[1]  NA  NA 6.4 6.4  NA 5.0
movies_combined$genre <- as.factor(movies_combined$genre)
class(movies_combined$genre )
[1] "factor"
head(movies_combined$genre)
[1] Documentary Short       Comedy      Crime       Western     Comedy     
21 Levels: Action Adult Adventure Animation Comedy Crime Documentary ... Western

it is important to highlight that the movie_rating variable previously had values marked “NULL” which are replaced with NAs by coercion when it is changed to be of type numeric. These two variables are

Exploration of the Merged IMDB dataset

We shall begin by observing whether the data observed Hadley Wickham’s Tidy Principles.

head(movies_combined)
  movie_id                          movie_name year_released movie_rating
1        1 #7 Train: An Immigrant Journey, The          2000           NA
2        1 #7 Train: An Immigrant Journey, The          2000           NA
3        2                                   $          1971          6.4
4        2                                   $          1971          6.4
5        5                       $1,000 Reward          1923           NA
6        6                     $1,000,000 Duck          1971          5.0
        genre
1 Documentary
2       Short
3      Comedy
4       Crime
5     Western
6      Comedy
tail(movies_combined)
       movie_id         movie_name year_released movie_rating     genre
395114   378611 nc Selim'in gzdesi          1950           NA   Romance
395115   378612     nz de mihlarim          1965           NA Adventure
395116   378612     nz de mihlarim          1965           NA     Drama
395117   378613      egar a gerist          1998           NA    Comedy
395118   378613      egar a gerist          1998           NA     Drama
395119   378614            . 19,99          1998          6.3    Comedy

From the above, we can observe that the data is generally tidy as each variable forms a column, each observations forms a row and each value is in its own cell. However, there are numerous instances where an observation is duplicated as a movie can have several genres. This causes the movie identifier to be duplicated.

For the purposes of this report, we shall consider a movie to have only one genre and so shall remove duplicate rows based on the variable movie_id using the function distinct from the dplyr package as shown below.

movies_distinct<- distinct(movies_combined,movie_id, .keep_all = TRUE)
#movies_distinct2<-movies_combined[!duplicated(movies_combined$movie_id), ]#
head(movies_distinct)
  movie_id                          movie_name year_released movie_rating
1        1 #7 Train: An Immigrant Journey, The          2000           NA
2        2                                   $          1971          6.4
3        5                       $1,000 Reward          1923           NA
4        6                     $1,000,000 Duck          1971          5.0
5        8              $10,000 Under a Pillow          1921           NA
6        9                            $100,000          1915           NA
        genre
1 Documentary
2      Comedy
3     Western
4      Comedy
5   Animation
6       Drama

Additionally, we shall subset this distinct data frame for observations only within the last 10 years in order to answer the question, What has been the Most Popular Movie Genre in the last 10 years?

# Filtering and subsetting table to 1998-2008
movies_subset <- movies_distinct %>% filter(year_released >= "1998", genre != "Adult") 

Handling Missing Values

#Missing values in the dataset
colSums(is.na(movies_subset))
     movie_id    movie_name year_released  movie_rating         genre 
            0             0             0         38395             0 

The numeric variable movie_rating is the only variable with missing values. There are 38395 NA values in the variable which is an equivalent of 73.87% of missing data. It is likely that this is because users are not required to rate movies on the website or users only tend to rate bigger budget films that receive a lot of media attention.

We can observe the total number of missing ratings by the genre that they are associated with as shown below.

# Missing total values in rating column of movies_subset grouped by genre
as.data.frame(movies_subset %>% group_by(genre) %>% summarise(missing_rating = sum(is.na(movie_rating))) %>% arrange(desc(missing_rating)))
         genre missing_rating
1  Documentary           9533
2        Short           6560
3        Drama           6411
4       Comedy           5440
5       Action           3073
6    Animation           1747
7        Crime           1332
8       Horror            751
9        Music            749
10   Adventure            660
11    Thriller            507
12      Family            453
13     Romance            305
14     Fantasy            277
15      Sci-Fi            245
16     Musical            165
17     Mystery            139
18         War             27
19     Western             21

We observe that the highest non-rated movies are documentaries, drama, short films and comedies. Conversely, Western and War movies have the lowest number of missing ratings.

We find the mean rating, median rating and the number of movies rated per genre as shown below. It is observed that there is not much deviation from the mean for each of the groups.

# Mean of Movie Genres
genres_mean<-as.data.frame(movies_subset %>% group_by(genre) %>% summarise(group_mean = round(mean(movie_rating, na.rm = TRUE),2), group_median=median(movie_rating, na.rm = TRUE), Frequency=n())) %>% arrange(desc(group_mean))
genres_mean
         genre group_mean group_median Frequency
1  Documentary       6.91         7.10     10829
2          War       6.62         6.60        31
3    Animation       6.58         6.70      2228
4        Short       6.57         6.70      7603
5        Drama       6.27         6.40     10326
6      Musical       6.22         6.30       189
7        Music       6.17         7.40       756
8      Romance       6.10         6.20       436
9      Mystery       6.03         6.20       201
10      Comedy       5.96         6.10      9359
11       Crime       5.88         6.10      1790
12   Adventure       5.60         5.70       994
13      Action       5.52         5.70      4449
14     Fantasy       5.49         5.80       383
15      Family       5.39         5.40       568
16      Sci-Fi       5.20         5.00       320
17    Thriller       4.99         4.90       851
18      Horror       4.81         4.70      1170
19     Western       4.77         4.55        27

Documentaries have the highest mean of 6.91 and also the highest frequency count of 10829. It is therefore not surprising that this category appears to be the most popular. It is indicative that possibly this category was the most frequently rated in the dataset.

This report proposes to impute the missing values present in the movie_rating variable with the mean of the genre that the missing observation belongs to. This is successfully done below using the mutate function from the dplyr package.

# Impute Missing values with group mean using mutate
movies_imputed<-movies_subset%>% 
  group_by(genre) %>% 
  mutate(movie_rating = ifelse(is.na(movie_rating), mean(movie_rating, na.rm = TRUE),movie_rating))
# Check for missing values
sum(is.na(movies_imputed$movie_rating)) 
[1] 0
# Round off to two decimal places
movies_imputed$movie_rating<-round(movies_imputed$movie_rating,2)
head(movies_imputed)
dim(movies_imputed)
[1] 52510     5

Outlier Detection and Handling

In order to detect for outliers in the movie_rating variable, we shall rely on the movie_subset dataframe created earlier as it is more representative of the dataset. As this is one variable in question, univariate methods of outlier detection and handling shall be considered.

A boxplot is developed for this purpose as shown below.

movies_subset$movie_rating %>%  boxplot(main="Box Plot of Movie Ratings", ylab="Rating", col = "pink")

Possible outliers are observed below the lower outlier fence.

sum(is.na(movies_subset$movie_rating))
[1] 38395
mean(!complete.cases(movies_subset$movie_rating))
[1] 0.7311941

As had been noted earlier, there are a high number of missing values within the ratings column, accounting for about 73% of the data in this variable. This is also indicated above.

We shall create a subset of the data without these missing values and see if the outliers are still present.

complete_ratings<-movies_subset[!is.na(movies_subset$movie_rating), ] 
complete_ratings$movie_rating %>%  boxplot(main="Box Plot of Movie Ratings after removing NA values", ylab="Rating", col = "pink")

Outliers are still present after removing the NA values.

We calculate the z scores as shown below and as observed in the summary we identify that the minimum z score is -3.14310 while the maximum is 2.36846. Outliers are considered to be observations that have an absolute value larger than 3. This method finds that there are 45 observations that meet this criterion i.e. there are 45 outliers.

# Z score method to detect univariate outliers
z.scores <- complete_ratings$movie_rating %>%  scores(type = "z")
z.scores %>% summary() 
    Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
-3.14310 -0.60407  0.07713  0.00000  0.69641  2.36846 
# Establish location of outliers
which( abs(z.scores) > 3 ) 
 [1]   422   924  1498  1833  2285  3276  3426  3857  3878  4088  4419  4456  4600
[14]  4747  5504  5603  5609  5774  5872  6042  6063  6210  6699  7133  7505  7655
[27]  7912  8283  8463  8655  8953 10086 10247 10538 10783 10855 11124 11317 11575
[40] 12356 12460 12618 13192 13368 13807
# Establish number of outliers
length (which( abs(z.scores) >3 )) 
[1] 45

We can use the capping method to replace the observations lying outside the lower limit with the value of 5th percentile and those that lie above the upper limit, with the value of 95th percentile. A function is created below to perform this operation and further a boxplot is created to observe whether capping had any effect on the outliers.

# Handling outliers using the capping method
fun <- function(x){
    quantiles <- quantile( x, c(.05, .95 ) )
    x[ x < quantiles[1] ] <- quantiles[1]
    x[ x > quantiles[2] ] <- quantiles[2]
    x
}
ratings_capped<-complete_ratings$movie_rating %>% fun
# Observe if capping has been successful to get rid of outliers
ratings_capped %>%  boxplot(main="Box Plot of Movie Ratings after Capping", ylab="Rating", col = "pink")

We observe that the capping method has been successful in eliminating the 45 outliers that were present in this variable.

3. Transform

To the combined dataset movies_subset we merge the additional IMDB movie dataset in order to observe the distribution of movie revenues for action movies.

The dataset is in .csv format and so the function read_csv is used to import it into R.

head(moviesB)
# A tibble: 6 x 12
   Rank Title  Genre Description    Director Actors   Year `Runtime (Minut… Rating
  <int> <chr>  <chr> <chr>          <chr>    <chr>   <int>            <int>  <dbl>
1     1 Guard… Acti… A group of in… James G… Chris …  2014              121    8.1
2     2 Prome… Adve… Following clu… Ridley … Noomi …  2012              124    7  
3     3 Split  Horr… Three girls a… M. Nigh… James …  2016              117    7.3
4     4 Sing   Anim… In a city of … Christo… Matthe…  2016              108    7.2
5     5 Suici… Acti… A secret gove… David A… Will S…  2016              123    6.2
6     6 The G… Acti… European merc… Yimou Z… Matt D…  2016              103    6.1
# ... with 3 more variables: Votes <int>, `Revenue (Millions)` <dbl>,
#   Metascore <int>

This dataset has 1000 observations and 12 variables as shown below. It contains a mix of numeric and character variables.

str(moviesB)
Classes ‘tbl_df’, ‘tbl’ and 'data.frame':   1000 obs. of  12 variables:
 $ Rank              : int  1 2 3 4 5 6 7 8 9 10 ...
 $ Title             : chr  "Guardians of the Galaxy" "Prometheus" "Split" "Sing" ...
 $ Genre             : chr  "Action,Adventure,Sci-Fi" "Adventure,Mystery,Sci-Fi" "Horror,Thriller" "Animation,Comedy,Family" ...
 $ Description       : chr  "A group of intergalactic criminals are forced to work together to stop a fanatical warrior from taking control "| __truncated__ "Following clues to the origin of mankind, a team finds a structure on a distant moon, but they soon realize the"| __truncated__ "Three girls are kidnapped by a man with a diagnosed 23 distinct personalities. They must try to escape before t"| __truncated__ "In a city of humanoid animals, a hustling theater impresario's attempt to save his theater with a singing compe"| __truncated__ ...
 $ Director          : chr  "James Gunn" "Ridley Scott" "M. Night Shyamalan" "Christophe Lourdelet" ...
 $ Actors            : chr  "Chris Pratt, Vin Diesel, Bradley Cooper, Zoe Saldana" "Noomi Rapace, Logan Marshall-Green, Michael Fassbender, Charlize Theron" "James McAvoy, Anya Taylor-Joy, Haley Lu Richardson, Jessica Sula" "Matthew McConaughey,Reese Witherspoon, Seth MacFarlane, Scarlett Johansson" ...
 $ Year              : int  2014 2012 2016 2016 2016 2016 2016 2016 2016 2016 ...
 $ Runtime (Minutes) : int  121 124 117 108 123 103 128 89 141 116 ...
 $ Rating            : num  8.1 7 7.3 7.2 6.2 6.1 8.3 6.4 7.1 7 ...
 $ Votes             : int  757074 485820 157606 60545 393727 56036 258682 2490 7188 192177 ...
 $ Revenue (Millions): num  333 126 138 270 325 ...
 $ Metascore         : int  76 65 62 59 40 42 93 71 78 41 ...
 - attr(*, "spec")=List of 2
  ..$ cols   :List of 12
  .. ..$ Rank              : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Title             : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Genre             : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Description       : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Director          : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Actors            : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Year              : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Runtime (Minutes) : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Rating            : list()
  .. .. ..- attr(*, "class")= chr  "collector_double" "collector"
  .. ..$ Votes             : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Revenue (Millions): list()
  .. .. ..- attr(*, "class")= chr  "collector_double" "collector"
  .. ..$ Metascore         : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  ..$ default: list()
  .. ..- attr(*, "class")= chr  "collector_guess" "collector"
  ..- attr(*, "class")= chr "col_spec"
dim(moviesB)
[1] 1000   12

For the purposes of this task, we shall select the Title, Year, Rating, Revenue and Genre variables. These variables are renamed in order to be consistent with data previously analysed by this report.

We merge the datasets by movie_name in order to observe what movies these two datasets have in common, filter to include only action movies and rename the columns.

movies_joined_B <- merge(movies_subset,moviesB_,by=c("movie_name"))
#filering movies_joined df to action only
movies_joined_b <-movies_joined_B %>% filter(genre == "Action") 
#Subset further to remove double up variables 'year_released.x', 'movie_rating.x' and 'Genre'
movies_joined_c <- movies_joined_b[-c(3,4,9)]
#removing 2 entries that do no have revenue recorded
movies_joined_d <- movies_joined_c[-c(7,8),]
#renaming column names
names(movies_joined_d)[4]<-"year_released"
names(movies_joined_d)[5]<-"movie_rating"
names(movies_joined_d)[6]<-"revenue"
head(movies_joined_d)
  movie_name movie_id  genre year_released movie_rating revenue
1        300     2238 Action          2006          7.7  210.59
2       Argo    20101 Action          2012          7.7  136.02
3     Avatar    24874 Action          2009          7.8  760.51
4    Beowulf    34191 Action          2007          6.2   82.16
5      Clown    65995 Action          2014          5.7    0.05
6 Dead Awake    80394 Action          2016          4.7    0.01
movies_joined_d$revenue%>%  hist(main="Histogram of Movie Revenues for Action Movies", ylab="Rating",col = "pink")

The distribution of movie revenues for action movies shown above reveals that this variable is a right-skewed distribution. There are some movies that make a lot more revenue than others.

We shall attempt a series of transformations to address this right skewed nature of this variable. These transformations are namely:log10 transformation, reciprocal transformation, natural log transformation and square root transformation.

log_revenue<- log10(movies_joined_d$revenue)
log_revenue%>%hist(main="Histogram of Movie Revenues after log10 transformation", xlab="Rating",col = "pink")

# Reciprocal transformation
recip_revenue<-1/movies_joined_d$revenue
recip_revenue%>%hist(main="Histogram of Movie Revenues after reciprocal transformation", xlab="Revenue",col = "pink")

# Natural log transformation
ln_revenue<-log(movies_joined_d$revenue)
ln_revenue %>%hist(main="Histogram of Movie Revenues after natural log transformation", xlab="Revenue",col = "pink")

# Square Root revenue
sqrt_revenue<-sqrt(movies_joined_d$revenue)
sqrt_revenue %>%hist(main="Histogram of Movie Revenues after square root transformation", xlab="Revenue",col = "pink")

The square root transformation is the most successful in addressing the right skew in this variable.

---
title: "Assignment 3 Data Preprocessing:IMDB Movie Data Preprocessing Tasks"
author: "Wesley Nderi s3635870 & Catherine Sandow s3629599"
output: 
  html_notebook: 
    fig_caption: yes
---
## 1. Introduction

The goal of this assignment is to apply a variety of data preprocessing tasks to a series of datasets. For the purposes of this report, we have considered three IMDB Movie datasets, two sourced from the [Relational Dataset Repository](https://relational.fit.cvut.cz/dataset/IMDb) and another sourced from [Kaggle](https://www.kaggle.com/PromptCloudHQ/imdb-data). 


The first two datasets have been extracted from a relational database with the schema shown below. Specifically, only the **movies** table and the **movies_genre** table are considered in this report. 

 ![*IMDB Database Movie Schema sourced from the Relational Dataset Repository*](database.png)


The rest of this report is organised as follows. Section 2 explores the completion of tasks 1-9 which are completed using the dataset sourced from the Relational Database Repository. Section 3 explores Task 10 which is completed using a combination of the data used in the previous section and the data sourced from Kaggle.

## 2. Tidy and Manipulate

After extraction from the database, the **movies** and **movies_genres** tables are in *.csv* format and so the *read_csv()* function from the readr package can be used to import this data into R.

### Preliminaries
```{r, message=FALSE}
# Load required packages
library(readr)
library(dplyr)
library(tidyr)
library(ggplot2)
library(outliers)
```


```{r, message=FALSE}
#Loading in the data
movies <- read_csv("movies.csv")
movies_genres <- read_csv("movies_genres.csv")
```

The structure and dimensions of these datasets can be seen below.

The **movies** dataset contains 388269 observations(rows) and has 4 variables(columns). These variables are **id**, **name**, **year** and **rank**. On the other hand, the **movies_genres** dataset contains 395119 observation and 2 variables. These variables are **movied_id** and **genre**. The specifics of these variables are described in detail in this section of this report.


```{r}
#Check on the structure and dimensions of the data frames
# Movies dataset
str(movies)
dim(movies)

# Movie Genres dataset
str(movies_genres)
dim(movies_genres)
```

```{r}
# View the movies dataset
head(as.data.frame(movies))
```


```{r}
# View the movies_genres dataset
head(as.data.frame(movies_genres))
```


In order to merge both datasets, we rename the **id** variable in the movies dataset to **movie_id** using the *names* function from Base R. These datasets can now be merged using the mutual variable **movie_id** now present in both datasets.

```{r}
# Join both datasets
# Rename the movies dataset id variable#
names(movies)[1]<-"movie_id"

movies_combined <- merge(movies,movies_genres, by="movie_id")
```

The structure and dimensions of this combined dataset, **movies_combined** can be seen below. This dataset has 395119 observations and 5 variables which are discussed briefly below. 

```{r}
# Checking on the structure and dimensions of the merged dataset
str(movies_combined)
dim(movies_combined)
```


```{r}
# View the movies_combined dataset
head(movies_combined)
```

As seen above, there are 5 variables present and each is described briefly below:

**movie_id** - A unique identifier assigned to every movie present in the IMDB database. It has been read in as an integer.

**name** - The name of a movie in the database. This has been read in as a character.

**year** - This variable describes the year a movie was produced. It has been read in as an integer.

**rank** - This describes the overall rating given to a movie. It has been read in as a character but should be a numeric variable.

**genre** - This variable describes the classification given to a movie. It has been read in as a character but should be a factor.


These variables are renamed to be slightly more meaningful and thereafter converted to their appropriate types.

```{r}
# Rename combined variables of the combined dataset
names(movies_combined)[2]<-"movie_name"
names(movies_combined)[3]<-"year_released"
names(movies_combined)[4]<-"movie_rating"
```


```{r, message=FALSE}
# Convert variable types
movies_combined$movie_rating<-as.numeric(movies_combined$movie_rating)
class(movies_combined$movie_rating)
head(movies_combined$movie_rating)

movies_combined$genre <- as.factor(movies_combined$genre)
class(movies_combined$genre )
head(movies_combined$genre)
```

it is important to highlight that the **movie_rating** variable previously had values marked "NULL" which are replaced with NAs by coercion when it is changed to be of type *numeric*. These two variables are 

## Exploration of the Merged IMDB dataset

We shall begin by observing whether the data observed Hadley Wickham's Tidy Principles.

```{r}
head(movies_combined)
tail(movies_combined)
```

From the above, we can observe that the data is generally tidy as each variable forms a column, each observations forms a row and each value is in its own cell. However, there are numerous instances where an observation is duplicated as a movie can have several genres. This causes the movie identifier to be duplicated.

For the purposes of this report, we shall consider a movie to have only one genre and so shall remove duplicate rows based on the variable **movie_id**  using the function *distinct* from the *dplyr* package as shown below.

```{r}
movies_distinct<- distinct(movies_combined,movie_id, .keep_all = TRUE)
#movies_distinct2<-movies_combined[!duplicated(movies_combined$movie_id), ]#

head(movies_distinct)
```

Additionally, we shall subset this distinct data frame for observations only within the last 10 years in order to answer the question, **What has been the Most Popular Movie Genre in the last 10 years? **

```{r}
# Filtering and subsetting table to 1998-2008
movies_subset <- movies_distinct %>% filter(year_released >= "1998", genre != "Adult") 
```

## Handling Missing Values

```{r}
#Missing values in the dataset
colSums(is.na(movies_subset))
```

The numeric variable **movie_rating** is the only variable with missing values. There are 38395 NA values in the variable which is an equivalent of 73.87% of missing data. It is likely that this is because users are not required to rate movies on the website or users only tend to rate bigger budget films that receive a lot of media attention.

We can observe the total number of missing ratings by the genre that they are associated with as shown below.

```{r}
# Missing total values in rating column of movies_subset grouped by genre
as.data.frame(movies_subset %>% group_by(genre) %>% summarise(missing_rating = sum(is.na(movie_rating))) %>% arrange(desc(missing_rating)))
```

We observe that the highest non-rated movies are documentaries, drama, short films and comedies. Conversely, Western and War movies have the lowest number of missing ratings.

We find the mean rating, median rating and the number of movies rated per genre as shown below. It is observed that there is not much deviation from the mean for each of the groups.

```{r}
# Mean of Movie Genres
genres_mean<-as.data.frame(movies_subset %>% group_by(genre) %>% summarise(group_mean = round(mean(movie_rating, na.rm = TRUE),2), group_median=median(movie_rating, na.rm = TRUE), Frequency=n())) %>% arrange(desc(group_mean))
genres_mean
```

Documentaries have the highest mean of 6.91 and also the highest frequency count of 10829. It is therefore not surprising that this category appears to be the most popular. It is indicative that possibly this category was the most frequently rated in the dataset. 


This report proposes to impute the missing values present in the **movie_rating** variable with the mean of the genre that the missing observation belongs to. This is successfully done below using the *mutate* function from the dplyr package.

```{r}
# Impute Missing values with group mean using mutate
movies_imputed<-movies_subset%>% 
  group_by(genre) %>% 
  mutate(movie_rating = ifelse(is.na(movie_rating), mean(movie_rating, na.rm = TRUE),movie_rating))

# Check for missing values
sum(is.na(movies_imputed$movie_rating)) 

# Round off to two decimal places
movies_imputed$movie_rating<-round(movies_imputed$movie_rating,2)

head(movies_imputed)
dim(movies_imputed)
```

## Outlier Detection and Handling

In order to detect for outliers in the **movie_rating** variable, we shall rely on the **movie_subset** dataframe created earlier as it is more representative of the dataset. As this is one variable in question, univariate methods of outlier detection and handling shall be considered. 

A boxplot is developed for this purpose as shown below.

```{r,warning=FALSE}
movies_subset$movie_rating %>%  boxplot(main="Box Plot of Movie Ratings", ylab="Rating", col = "pink")
```

Possible outliers are observed below the lower outlier fence. 


```{r}
sum(is.na(movies_subset$movie_rating))
mean(!complete.cases(movies_subset$movie_rating))
```

As had been noted earlier, there are a high number of missing values within the ratings column, accounting for about 73% of the data in this variable. This is also indicated above.

We shall create a subset of the data without these missing values and see if the outliers are still present.

```{r}
complete_ratings<-movies_subset[!is.na(movies_subset$movie_rating), ] 

complete_ratings$movie_rating %>%  boxplot(main="Box Plot of Movie Ratings after removing NA values", ylab="Rating", col = "pink")
```

Outliers are still present after removing the NA values.

We calculate the z scores as shown below and as observed in the summary we identify that the minimum z score is -3.14310 while the maximum is 2.36846. Outliers are considered to be observations that have an absolute value larger than 3. This method finds that there are 45 observations that meet this criterion i.e. there are 45 outliers.

```{r}
# Z score method to detect univariate outliers
z.scores <- complete_ratings$movie_rating %>%  scores(type = "z")

z.scores %>% summary() 

# Establish location of outliers
which( abs(z.scores) > 3 ) 

# Establish number of outliers
length (which( abs(z.scores) >3 )) 
```


We can use the capping method to replace the observations lying outside the lower limit with the value of 5th percentile and those that lie above the upper limit, with the value of 95th percentile. A function is created below to perform this operation and further a boxplot is created to observe whether capping had any effect on the outliers.

```{r}
# Handling outliers using the capping method
fun <- function(x){
    quantiles <- quantile( x, c(.05, .95 ) )
    x[ x < quantiles[1] ] <- quantiles[1]
    x[ x > quantiles[2] ] <- quantiles[2]
    x
}
ratings_capped<-complete_ratings$movie_rating %>% fun
```

```{r}
# Observe if capping has been successful to get rid of outliers
ratings_capped %>%  boxplot(main="Box Plot of Movie Ratings after Capping", ylab="Rating", col = "pink")
```

We observe that the capping method has been successful in eliminating the 45 outliers that were present in this variable.

## 3. Transform

To the combined dataset **movies_subset** we merge the additional IMDB movie dataset in order to observe the distribution of movie revenues for action movies.

The dataset is in *.csv* format and so the function *read_csv* is used to import it into R.
```{r,message=FALSE}
#Load the data
moviesB <- read_csv("IMDB-Movie-Data.csv")
head(moviesB)
```

This dataset has 1000 observations and 12 variables as shown below. It contains a mix of numeric and character variables. 

```{r}
str(moviesB)
dim(moviesB)
```

For the purposes of this task, we shall select the **Title**, **Year**, **Rating**, **Revenue** and **Genre** variables. These variables are renamed in order to be consistent with data previously analysed by this report.

```{r}
moviesB_<-moviesB %>% select(Title,Year,Rating,`Revenue (Millions)`,Genre)

movies_joined <- inner_join(movies_subset, moviesB_, by = c("movie_name" = "Title"))
names(moviesB_)[1]<-"movie_name"
names(moviesB_)[2]<-"year_released"
names(moviesB_)[3]<-"movie_rating"

```


We merge the datasets by *movie_name* in order to observe what movies these two datasets have in common, filter to include only action movies and rename the columns. 

```{r}
movies_joined_B <- merge(movies_subset,moviesB_,by=c("movie_name"))

#filering movies_joined df to Action only
movies_joined_b <-movies_joined_B %>% filter(genre == "Action") 


#Subset further to remove double up variables 'year_released.x', 'movie_rating.x' and 'Genre'
movies_joined_c <- movies_joined_b[-c(3,4,9)]

#removing 2 entries that do no have revenue recorded
movies_joined_d <- movies_joined_c[-c(7,8),]

#renaming column names
names(movies_joined_d)[4]<-"year_released"
names(movies_joined_d)[5]<-"movie_rating"
names(movies_joined_d)[6]<-"revenue"

head(movies_joined_d)
```


```{r}
# Histogram of Movie revenues
movies_joined_d$revenue%>%  hist(main="Histogram of Movie Revenues for Action Movies", ylab="Rating",col = "pink")

```

The distribution of movie revenues for action movies shown above reveals that this variable is a right-skewed distribution. There are some movies that make a lot more revenue than others.

We shall attempt a series of transformations to address this right skewed nature of this variable. These transformations are namely:log10 transformation, reciprocal transformation, natural log transformation and square root transformation.

```{r}
# log10 transformation
log_revenue<- log10(movies_joined_d$revenue)
log_revenue%>%hist(main="Histogram of Movie Revenues after log10 transformation", xlab="Revenue",col = "pink")
```


```{r}
# Reciprocal transformation
recip_revenue<-1/movies_joined_d$revenue
recip_revenue%>%hist(main="Histogram of Movie Revenues after reciprocal transformation", xlab="Revenue",col = "pink")
```


```{r}
# Natural log transformation
ln_revenue<-log(movies_joined_d$revenue)
ln_revenue %>%hist(main="Histogram of Movie Revenues after natural log transformation", xlab="Revenue",col = "pink")

```

```{r}
# Square Root transformation
sqrt_revenue<-sqrt(movies_joined_d$revenue)
sqrt_revenue %>%hist(main="Histogram of Movie Revenues after square root transformation", xlab="Revenue",col = "pink")
```

The square root transformation is the most successful in addressing the right skew in this variable.
