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Jayesh Chavan
DSSE Group 7
Commits
c326f12f
There was an error fetching the commit references. Please try again later.
Commit
c326f12f
authored
Jul 7, 2024
by
Abhay Kishorbhai Vaghasiya
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RQ-3 code
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a20c8855
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Assignment-3/Week3/RQ3.ipynb
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c326f12f
{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Top 10 Tags:\n",
"tags\n",
"asp 2\n",
"net 2\n",
"design 2\n",
"c 1\n",
"web 1\n",
"services 1\n",
"database 1\n",
"oop 1\n",
"class 1\n",
"iis 1\n",
"Name: count, dtype: int64\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ANOVA results for number of answers by Type: F-statistic = 2.0333333333333337, P-value = 0.46637164044572\n"
]
}
],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from scipy.stats import f_oneway\n",
"\n",
"def load_data(filepath):\n",
" \"\"\"Load the dataset from a specified file path.\"\"\"\n",
" df = pd.read_csv(\"/Users/abhayvaghasiya/Downloads/processed_data.csv\")\n",
" # Adding a dummy 'Type' column with sample categories\n",
" types = ['Concept', 'Technology', 'Methodology', 'Pattern']\n",
" df['Type'] = pd.Series([types[i % 4] for i in range(len(df))])\n",
" return df\n",
"\n",
"def analyze_tags(df):\n",
" \"\"\"Analyze and visualize the tag frequencies.\"\"\"\n",
" tag_counts = df['tags'].apply(lambda x: x.split(',')).explode().value_counts()\n",
" print(\"Top 10 Tags:\")\n",
" print(tag_counts.head(10))\n",
" tag_counts.head(30).plot(kind='bar', figsize=(10, 5)) # Visualize top 30 tags for better clarity\n",
" plt.title('Frequency of Top 30 Tags')\n",
" plt.xlabel('Tags')\n",
" plt.ylabel('Frequency')\n",
" plt.xticks(rotation=90)\n",
" plt.show()\n",
"\n",
"def analyze_answers_votes(df):\n",
" \"\"\"Analyze and visualize answers and votes distributions.\"\"\"\n",
" # Answers distribution\n",
" sns.histplot(df['ans_count'], kde=True, color='blue')\n",
" plt.title('Distribution of Answers per Post')\n",
" plt.xlabel('Number of Answers')\n",
" plt.ylabel('Frequency')\n",
" plt.show()\n",
"\n",
" # Votes distribution (using post_score)\n",
" sns.histplot(df['post_score'], kde=True, color='green')\n",
" plt.title('Distribution of Post Scores (Votes)')\n",
" plt.xlabel('Score')\n",
" plt.ylabel('Frequency')\n",
" plt.show()\n",
"\n",
"def analyze_by_type(df):\n",
" \"\"\"Analyze posts characteristics by Type and perform statistical tests.\"\"\"\n",
" # Group data by Type\n",
" grouped = df.groupby('Type')\n",
"\n",
" # Plotting answers by type\n",
" for name, group in grouped:\n",
" sns.histplot(group['ans_count'], kde=True, label=name)\n",
" plt.title('Distribution of Answers by Post Type')\n",
" plt.xlabel('Number of Answers')\n",
" plt.ylabel('Frequency')\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
" # ANOVA to test if differences in number of answers across types are statistically significant\n",
" groups = [group['ans_count'].values for name, group in grouped]\n",
" f_stat, p_value = f_oneway(*groups)\n",
" print(f\"ANOVA results for number of answers by Type: F-statistic = {f_stat}, P-value = {p_value}\")\n",
"\n",
"def main():\n",
" filepath = 'path_to_your_data.csv' # Change to your actual file path\n",
" df = load_data(filepath)\n",
"\n",
" if 'tags' in df.columns:\n",
" analyze_tags(df)\n",
" else:\n",
" print(\"Error: 'tags' column not found in the DataFrame.\")\n",
"\n",
" analyze_answers_votes(df)\n",
" analyze_by_type(df)\n",
"\n",
"if __name__ == \"__main__\":\n",
" main()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
%% Cell type:code id: tags:
```
python
import
pandas
as
pd
import
matplotlib.pyplot
as
plt
import
seaborn
as
sns
from
scipy.stats
import
f_oneway
def
load_data
(
filepath
):
"""
Load the dataset from a specified file path.
"""
df
=
pd
.
read_csv
(
"
/Users/abhayvaghasiya/Downloads/processed_data.csv
"
)
# Adding a dummy 'Type' column with sample categories
types
=
[
'
Concept
'
,
'
Technology
'
,
'
Methodology
'
,
'
Pattern
'
]
df
[
'
Type
'
]
=
pd
.
Series
([
types
[
i
%
4
]
for
i
in
range
(
len
(
df
))])
return
df
def
analyze_tags
(
df
):
"""
Analyze and visualize the tag frequencies.
"""
tag_counts
=
df
[
'
tags
'
].
apply
(
lambda
x
:
x
.
split
(
'
,
'
)).
explode
().
value_counts
()
print
(
"
Top 10 Tags:
"
)
print
(
tag_counts
.
head
(
10
))
tag_counts
.
head
(
30
).
plot
(
kind
=
'
bar
'
,
figsize
=
(
10
,
5
))
# Visualize top 30 tags for better clarity
plt
.
title
(
'
Frequency of Top 30 Tags
'
)
plt
.
xlabel
(
'
Tags
'
)
plt
.
ylabel
(
'
Frequency
'
)
plt
.
xticks
(
rotation
=
90
)
plt
.
show
()
def
analyze_answers_votes
(
df
):
"""
Analyze and visualize answers and votes distributions.
"""
# Answers distribution
sns
.
histplot
(
df
[
'
ans_count
'
],
kde
=
True
,
color
=
'
blue
'
)
plt
.
title
(
'
Distribution of Answers per Post
'
)
plt
.
xlabel
(
'
Number of Answers
'
)
plt
.
ylabel
(
'
Frequency
'
)
plt
.
show
()
# Votes distribution (using post_score)
sns
.
histplot
(
df
[
'
post_score
'
],
kde
=
True
,
color
=
'
green
'
)
plt
.
title
(
'
Distribution of Post Scores (Votes)
'
)
plt
.
xlabel
(
'
Score
'
)
plt
.
ylabel
(
'
Frequency
'
)
plt
.
show
()
def
analyze_by_type
(
df
):
"""
Analyze posts characteristics by Type and perform statistical tests.
"""
# Group data by Type
grouped
=
df
.
groupby
(
'
Type
'
)
# Plotting answers by type
for
name
,
group
in
grouped
:
sns
.
histplot
(
group
[
'
ans_count
'
],
kde
=
True
,
label
=
name
)
plt
.
title
(
'
Distribution of Answers by Post Type
'
)
plt
.
xlabel
(
'
Number of Answers
'
)
plt
.
ylabel
(
'
Frequency
'
)
plt
.
legend
()
plt
.
show
()
# ANOVA to test if differences in number of answers across types are statistically significant
groups
=
[
group
[
'
ans_count
'
].
values
for
name
,
group
in
grouped
]
f_stat
,
p_value
=
f_oneway
(
*
groups
)
print
(
f
"
ANOVA results for number of answers by Type: F-statistic =
{
f_stat
}
, P-value =
{
p_value
}
"
)
def
main
():
filepath
=
'
path_to_your_data.csv
'
# Change to your actual file path
df
=
load_data
(
filepath
)
if
'
tags
'
in
df
.
columns
:
analyze_tags
(
df
)
else
:
print
(
"
Error:
'
tags
'
column not found in the DataFrame.
"
)
analyze_answers_votes
(
df
)
analyze_by_type
(
df
)
if
__name__
==
"
__main__
"
:
main
()
```
%% Output
Top 10 Tags:
tags
asp 2
net 2
design 2
c 1
web 1
services 1
database 1
oop 1
class 1
iis 1
Name: count, dtype: int64
ANOVA results for number of answers by Type: F-statistic = 2.0333333333333337, P-value = 0.46637164044572
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