---
title: "Introduction to Analitica"
author: "Carlos Jiménez-Gallardo"
date: "`r Sys.Date()`"
output:
  rmarkdown::html_vignette:
    toc: true
    toc_depth: 2
    number_sections: true
vignette: >
  %\VignetteIndexEntry{Introduction to Analitica}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

```{r setup, include = FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>",
  fig.width = 7,
  fig.height = 5
)
library(Analitica)
data(d_e, package = "Analitica")
```

# Overview

The `Analitica` package provides essential tools for:

-   Descriptive statistical summaries
-   Exploratory visualizations
-   Homoscedasticity tests
-   Outlier detection
-   Parametric and non-parametric group comparisons

It is suitable for researchers, educators, and analysts seeking quick and interpretable workflows.

# 1. Descriptive Analysis

Use `descripYG()` to explore a numeric variable, optionally grouped by a categorical variable:

```{r desc-example}
data(d_e, package = "Analitica")
descripYG(d_e, vd = Sueldo_actual)
descripYG(d_e, vd = Sueldo_actual, vi = labor)
```

# 2. Homogeneity of Variance Tests

You can assess variance assumptions using manual implementations:

```{r homo-tests}
Levene.Test(Sueldo_actual ~ labor, data = d_e)
BartlettTest(Sueldo_actual ~ labor, data = d_e)
FKTest(Sueldo_actual ~ labor, data = d_e)
```

# 3. Outlier Detection

Detect univariate outliers with Grubbs' test:

```{r outliers}
res <- grubbs_outliers(d_e, Sueldo_actual)
head(res[res$outL == TRUE, ])
```

# 4. Multiple Comparisons (Post Hoc Tests)

Fit an ANOVA model and apply post hoc tests:

```{r comparisons}
mod <- aov(Sueldo_actual ~ as.factor(labor), data = d_e)
resultado <- GHTest(mod)
summary(resultado)
plot(resultado)
```

Other methods include `TukeyTest()`, `ScheffeTest()`, `DuncanTest()`, `SNKTest()`, `T2Test()`, and `T3Test()`.

# 5. Non-Parametric Tests

When assumptions are violated, try:

```{r np-tests}
g1 <- d_e$Sueldo_actual[d_e$labor == 1]
g2 <- d_e$Sueldo_actual[d_e$labor == 2]
MWTest(g1, g2)
BMTest(g1, g2)
BMpTest(g1, g2)
```

# Conclusion

`Analitica` integrates descriptive analysis with robust comparison methods for applied data exploration.

For detailed documentation, see `?Analitica` or function-specific help pages like `?GHTest` or `?descripYG`.