Update pages/2_Introduction_to_Statistics.py

pages/2_Introduction_to_Statistics.py

@@ -84,94 +84,10 @@ st.markdown("""
 st.subheader("Inferential Statistics")
 st.markdown("""
     Inferential statistics involve making predictions or inferences about a population based on a sample. These methods are used to test hypotheses and estimate population parameters.
+    <ul class="icon-bullet">
+        <li>Hypothesis Testing (t-tests,Chi-square tests,ANOVA)</li>
+        <li>Confidence Intervals </li>
+        <li>Regression Analysis(Simple Linear Regression,Multiple Regression,Logistic Regression)</li>
+    </u>
 """, unsafe_allow_html=True)
 
-st.title("Types of Statistics")
-
-# Descriptive Statistics
-st.header("1. Descriptive Statistics")
-st.markdown("""
-Descriptive statistics are used to summarize and describe the features of a dataset. They can be further divided into:
-""")
-
-# Measures of Central Tendency
-st.subheader("1.1 Measures of Central Tendency")
-st.latex(r"""
-\textbf{Measures of Central Tendency:} \\
-\text{These measures describe the center or typical value of a dataset.}
-""")
-st.latex(r"""
-\text{Mean:} \quad \bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i
-""")
-st.latex(r"""
-\text{Median:} \quad \text{The middle value in a sorted dataset}
-""")
-st.latex(r"""
-\text{Mode:} \quad \text{The most frequently occurring value in a dataset}
-""")
-
-# Measures of Dispersion
-st.subheader("1.2 Measures of Dispersion")
-st.latex(r"""
-\textbf{Measures of Dispersion:} \\
-\text{These measures describe the spread or variability of data points.}
-""")
-st.latex(r"""
-\text{Range:} \quad R = \text{Maximum value} - \text{Minimum value}
-""")
-st.latex(r"""
-\text{Variance:} \quad \sigma^2 = \frac{1}{n} \sum_{i=1}^{n} (x_i - \bar{x})^2
-""")
-st.latex(r"""
-\text{Standard Deviation:} \quad \sigma = \sqrt{\frac{1}{n} \sum_{i=1}^{n} (x_i - \bar{x})^2}
-""")
-
-# Data Distributions
-st.subheader("1.3 Data Distributions")
-st.latex(r"""
-\textbf{Data Distributions:} \\
-\text{These describe how data points are spread across different values.}
-""")
-st.latex(r"""
-\text{Normal Distribution (Gaussian):} \quad \mathcal{N}(\mu, \sigma^2)
-""")
-st.latex(r"""
-\text{Uniform Distribution:} \quad \text{All outcomes are equally likely}
-""")
-st.latex(r"""
-\text{Binomial Distribution:} \quad \text{Describes the number of successes in a fixed number of independent Bernoulli trials}
-""")
-
-# Inferential Statistics
-st.header("2. Inferential Statistics")
-st.markdown("""
-Inferential statistics make predictions or inferences about a population based on a sample of data. Key techniques include:
-""")
-
-st.subheader("2.1 Hypothesis Testing")
-st.latex(r"""
-\textbf{Hypothesis Testing:} \\
-\text{Involves testing a hypothesis about a population parameter.}
-""")
-st.latex(r"""
-H_0: \text{Null Hypothesis} \\
-H_1: \text{Alternative Hypothesis}
-""")
-
-st.subheader("2.2 Confidence Intervals")
-st.latex(r"""
-\textbf{Confidence Intervals:} \\
-\text{Provides a range of values within which the true population parameter is likely to fall.}
-""")
-st.latex(r"""
-\text{Confidence Interval:} \quad \bar{x} \pm Z_{\alpha/2} \frac{\sigma}{\sqrt{n}}
-""")
-
-st.subheader("2.3 Regression Analysis")
-st.latex(r"""
-\textbf{Regression Analysis:} \\
-\text{Examines the relationship between a dependent variable and one or more independent variables.}
-""")
-st.latex(r"""
-\text{Simple Linear Regression:} \quad y = \beta_0 + \beta_1 x + \epsilon
-""")