Statistical Data Analysis

Visual Exploration of the Diamonds Dataset Using ggplot2 in R

This analysis explores the popular diamonds dataset using the versatile ggplot2 package in R. Through a variety of visualizations—such as histograms, scatter plots, boxplots, and heatmaps—it reveals insights into diamond attributes like price, carat, cut, clarity, and their relationships. The study provides an intuitive understanding of the data, highlighting key trends and patterns, such as price distribution, the influence of carat size on cost, and variations across quality grades.

Exploring the Iris Dataset: A Visual Analysis of Sepal and Petal Characteristics

In this analysis, we use ggplot2 in R to visually explore how the sepal and petal dimensions vary across species. Through various plots, including scatter plots, box plots, and histograms, we aim to identify trends, correlations, and the distribution of these measurements, providing a deeper understanding of the iris flowers' physical characteristics and how they differ between species.

Exploring Air Quality in New York: A Predictive Analysis of Ozone Levels Using Environmental Factors

For this analysis, we will explore the airquality dataset, which provides daily air quality measurements in New York from May to September 1973. The dataset includes variables such as Ozone, Solar.R (solar radiation), Wind, Temp (temperature), and the month and day of the observation. Our objective is to analyze the relationships between air quality and weather-related factors, focusing on predicting the levels of Ozone, a key indicator of air pollution.

Time Series Analysis

Time series analysis is a vital statistical technique for examining data points collected or recorded at time intervals. In R, it involves identifying patterns, trends, seasonality, and cyclical behavior within a dataset. A typical time series analysis begins with data visualization to understand underlying trends, followed by decomposition to separate the data into trend, seasonal, and residual components. Ensuring stationarity is crucial, as non-stationary data can mislead results; this is often checked using the Augmented Dickey-Fuller (ADF) test.