---
title: "Getting Started with spatialAtomizeR"
author: "Yunzhe Qian (Bella), Principal Investigators: Dr. Nancy Krieger and Dr. Rachel Nethery"
date: "`r Sys.Date()`"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{Getting Started with spatialAtomizeR}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

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

## Overview

`spatialAtomizeR` implements atom-based Bayesian regression methods (ABRM) for spatial data with misaligned grids. This vignette demonstrates the basic workflow for analyzing misaligned spatial data using both simulated and real-world examples.

## Installation

```{r install, eval=FALSE}
# Install from CRAN
install.packages("spatialAtomizeR")

# Or install development version from GitHub
# devtools::install_github("bellayqian/spatialAtomizeR")
```

## Load Required Packages

```{r libraries}
library(spatialAtomizeR)
```

# Example 1: Simulated Data

This example demonstrates the complete workflow using simulated data.

## Step 1: Simulate Misaligned Data

Generate spatial data with misaligned grids. The function creates two non-overlapping grids (X-grid and Y-grid) and their intersection (atoms).

```{r simulate_data_show, eval=FALSE}
sim_data <- simulate_misaligned_data(
  seed = 42,
  
  # Distribution specifications for covariates
  dist_covariates_x = c('normal', 'poisson', 'binomial'),
  dist_covariates_y = c('normal', 'poisson', 'binomial'),
  dist_y = 'poisson',  # Outcome distribution
  
  # Intercepts for data generation (REQUIRED)
  x_intercepts = c(4, -1, -1),      # One per X covariate
  y_intercepts = c(4, -1, -1),      # One per Y covariate
  beta0_y = -1,                     # Outcome model intercept
  
  # Spatial correlation parameters
  x_correlation = 0.5,  # Correlation between X covariates
  y_correlation = 0.5,  # Correlation between Y covariates
  
  # True effect sizes for outcome model
  beta_x = c(-0.03, 0.1, -0.2),    # Effects of X covariates
  beta_y = c(0.03, -0.1, 0.2)      # Effects of Y covariates
)
```

```{r simulate_data_run, include=FALSE}
# Actually load the pre-computed version for vignette speed
sim_data <- readRDS(
  system.file("extdata", "sim_vignette_data.rds", package = "spatialAtomizeR")
)
```

The simulated data object contains:
- `gridx`: X-grid spatial features with covariates
- `gridy`: Y-grid spatial features with covariates and outcome
- `atoms`: Atom-level spatial features (intersection of grids)
- `true_params`: True parameter values used in simulation

## Step 2: Examine Simulated Data

The `simulate_misaligned_data` function returns an object of class `misaligned_data` with useful S3 methods:

```{r examine_data}
# Check the class
class(sim_data)

# Print method shows basic information
print(sim_data)

# Summary method shows more details
summary(sim_data)

# Default: overlay both grids to visualise misalignment
plot(sim_data)
```

## Step 3: Get ABRM Model Code

Retrieve the pre-compiled NIMBLE model specification:

```{r model}
model_code <- get_abrm_model()
```

## Step 4: Run ABRM Analysis

Fit the ABRM model. You must specify which covariates follow which distributions by providing their indices:

```{r run_abrm_show, eval=FALSE}
abrm_results <- run_abrm(
  gridx = sim_data$gridx,
  gridy = sim_data$gridy,
  atoms = sim_data$atoms,
  model_code = model_code,
  true_params = sim_data$true_params,  # Optional: for validation
  
  # Map distribution indices to positions in dist_covariates_x/y
  norm_idx_x = 1,   # 'normal' is 1st in dist_covariates_x
  pois_idx_x = 2,   # 'poisson' is 2nd
  binom_idx_x = 3,  # 'binomial' is 3rd
  norm_idx_y = 1,   # Same for Y covariates
  pois_idx_y = 2,
  binom_idx_y = 3,
  
  # Outcome distribution: 1=normal, 2=poisson, 3=binomial
  dist_y = 2,
  
  # MCMC parameters
  niter = 50000,    # Total iterations per chain
  nburnin = 30000,  # Burn-in iterations
  nchains = 2,      # Number of chains
  seed = 123,
  compute_waic = TRUE
)
```

```{r fit_model_run, include=FALSE}
abrm_results <- readRDS(
  system.file("extdata", "abrm_vignette_results.rds", package = "spatialAtomizeR")
)
```

## Step 5: Examine ABRM Results

The `run_abrm` function returns an object of class `abrm` with S3 methods:

```{r examine_results}
# Check the class
class(abrm_results)

# Print method shows summary statistics
print(abrm_results)

# Summary method shows detailed parameter estimates
summary(abrm_results)

# Plot method shows MCMC diagnostics (if available)
plot(abrm_results)
```

## Step 6: More Tests

### Access vairance-covariance matrices from the MCMC posterior sample

```{r more_test}
# Get variance-covariance matrices
vcov(abrm_results)

# Test coef()
coef(abrm_results)

# Test confint()
confint(abrm_results)

# Test parm subsetting
confint(abrm_results, parm = "covariate_x_1")

# Test fitted()
fitted(abrm_results)

# waic_abrm Objects
w <- waic(abrm_results)
print(w)          # shows WAIC, lppd, pWAIC, n_params
w$waic            # the raw scalar if you need it for comparison
```


# Example 2: Real Data - Utah Counties and School Districts

This example demonstrates using real spatial data from Utah, matching the analysis in the manuscript.

## Load Required Packages for Spatial Data

```{r load_spatial_packages, message = FALSE}
library(tigris)    # For US Census shapefiles
library(sf)        # Spatial features
library(sp)        # Spatial objects
library(spdep)     # Spatial dependence
library(raster)    # Spatial data manipulation
library(dplyr)     # Data manipulation
library(ggplot2)   # Plotting
```

## Step 1: Load Utah Shapefiles

```{r load_utah_data}
set.seed(500)

# Load Utah counties (Y-grid)
cnty <- counties(state = 'UT')
gridy <- cnty %>%
  rename(ID = GEOID) %>%
  mutate(ID = as.numeric(ID))  # ID must be numeric

# Load Utah school districts (X-grid)
scd <- school_districts(state = 'UT')
gridx <- scd %>%
  rename(ID = GEOID) %>%
  mutate(ID = as.numeric(ID))
```

## Step 2: Visualize Spatial Misalignment

```{r plot_misalignment, fig.width = 7, fig.height = 5}
# Bundle grids into a misaligned_data object
utah_mis <- structure(
  list(gridy = gridy, gridx = gridx),
  class = "misaligned_data"
)

# Default overlay plot
plot(utah_mis, color_x = "orange", color_y = "blue", title   = "Spatial Misalignment in Utah")

# You can also inspect each grid separately
plot(utah_mis, which = "gridy", title = "Utah Counties")
plot(utah_mis, which = "gridx", title = "Utah School Districts")
```

## Step 3: Create Atoms by Intersecting Grids

```{r create_atoms, eval = FALSE}
# Intersect the two grids to create atoms
atoms <- raster::intersect(as(gridy, 'Spatial'), as(gridx, 'Spatial'))
atoms <- sf::st_as_sf(atoms)

# Rename ID variables to match expected names
atoms <- atoms %>%
  rename(ID_y = ID_1,    # Y-grid (county) ID
         ID_x = ID_2)     # X-grid (school district) ID
```

## Step 4: Add Atom-Level Population Counts

ABRM requires population counts at the atom level. Here we use LandScan gridded population data:

```{r load_population, eval = FALSE}
# NOTE: You must download LandScan data separately
# Available at: https://landscan.ornl.gov/
# This example assumes the file is in your working directory

pop_raster <- raster("landscan-global-2022.tif")

# Extract population for each atom
pop_atoms <- raster::extract(
  pop_raster, 
  st_transform(atoms, crs(pop_raster)),
  fun = sum, 
  na.rm = TRUE
)

atoms$population <- pop_atoms
```

## Step 5: Generate Semi-Synthetic Outcome and Covariates

For demonstration, we generate synthetic outcome and covariate data at the atom level:

```{r generate_synthetic_data, eval = FALSE}
# Create atom-level spatial adjacency matrix
W_a <- nb2mat(
  poly2nb(as(atoms, "Spatial"), queen = TRUE),
  style = "B", 
  zero.policy = TRUE
)

# Generate spatial random effects
atoms <- atoms %>%
  mutate(
    re_x = gen_correlated_spat(W = W_a, n_vars = 1, correlation = 1, rho = 0.8),
    re_z = gen_correlated_spat(W = W_a, n_vars = 1, correlation = 1, rho = 0.8),
    re_y = gen_correlated_spat(W = W_a, n_vars = 1, correlation = 1, rho = 0.8)
  )

# Generate atom-level covariates and outcome
atoms <- atoms %>%
  mutate(
    # X-grid covariate (Poisson)
    covariate_x_1 = rpois(
      n = nrow(atoms), 
      lambda = population * exp(-1 + re_x)
    ),
    # Y-grid covariate (Normal)
    covariate_y_1 = rnorm(
      n = nrow(atoms), 
      mean = population * (3 + re_z), 
      sd = 1 * population
    )
  ) %>%
  mutate(
    # Outcome (Poisson)
    y = rpois(
      n = nrow(atoms),
      lambda = population * exp(
        -5 + 
        1 * (covariate_x_1 / population) - 
        0.3 * (covariate_y_1 / population) + 
        re_y
      )
    )
  )
```

## Step 6: Aggregate to Observed Grids

In reality, we only observe aggregated data at the grid level, not at atoms:

```{r aggregate_data, eval = FALSE}
# Aggregate X covariates to X-grid
gridx[["covariate_x_1"]] <- sapply(gridx$ID, function(j) {
  atom_indices <- which(atoms$ID_x == j)
  sum(atoms[["covariate_x_1"]][atom_indices])
})

# Aggregate Y covariates to Y-grid
gridy[["covariate_y_1"]] <- sapply(gridy$ID, function(j) {
  atom_indices <- which(atoms$ID_y == j)
  sum(atoms[["covariate_y_1"]][atom_indices])
})

# Aggregate outcome to Y-grid
gridy$y <- sapply(gridy$ID, function(j) {
  atom_indices <- which(atoms$ID_y == j)
  sum(atoms$y[atom_indices])
})
```

## Step 7: Run ABRM on Real Data

```{r run_abrm_utah, eval = FALSE}
model_code <- get_abrm_model()

mcmc_results <- run_abrm(
  gridx = gridx,
  gridy = gridy,
  atoms = atoms,
  model_code = model_code,
  
  # Specify covariate distributions
  pois_idx_x = 1,  # X covariate is Poisson
  norm_idx_y = 1,  # Y covariate is Normal
  dist_y = 2,      # Outcome is Poisson
  
  # MCMC settings (increase for real analysis)
  niter = 300000,
  nburnin = 200000,
  nchains = 2,
  seed = 123,
  compute_waic = TRUE
)
```

## Step 8: Examine Real Data Results

```{r more_test_real, eval=FALSE}
# View results from the Utah model fit
summary(mcmc_results)

# Get variance-covariance matrices
vcov(mcmc_results)

# Coefficient estimates
coef(mcmc_results)

# 95% confidence intervals
confint(mcmc_results)

# WAIC
w <- waic(mcmc_results)
print(w)
```
# Understanding Distribution Indices

When you specify covariates, the indices correspond to their positions:

```r
dist_covariates_x = c('normal', 'poisson', 'binomial')
#                       ^1        ^2         ^3

# So you would specify:
norm_idx_x = 1    # First position
pois_idx_x = 2    # Second position  
binom_idx_x = 3   # Third position
```

## Distribution Type Codes

| Code | Distribution | String      | Use Case                |
|------|--------------|-------------|-------------------------|
| 1    | Normal       | 'normal'    | Continuous data         |
| 2    | Poisson      | 'poisson'   | Count/rate data         |
| 3    | Binomial     | 'binomial'  | Proportion/binary data  |

## Getting Help

- Function documentation: `?simulate_misaligned_data`, `?run_abrm`
- Report issues: https://github.com/bellayqian/spatialAtomizeR/issues
- Package help: `?spatialAtomizeR`

# Citation

```{r citation, eval = FALSE}
citation("spatialAtomizeR")
```

**Reference:**
Qian, Y., Johnson, N., Krieger, N., & Nethery, R.C. (2026). spatialAtomizeR: Atom-Based Regression Models for Spatially Misaligned Data in R. R package version 0.2.7.
