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ardlverse - Comprehensive ARDL: Panel, Bootstrap and Fourier Methods

A unified framework for Autoregressive Distributed Lag (ARDL) modeling and cointegration analysis. Implements Panel ARDL with Pooled Mean Group (PMG), Mean Group (MG), and Dynamic Fixed Effects (DFE) estimators following Pesaran, Shin and Smith (1999) <doi:10.1080/01621459.1999.10474156>. Provides the bounds test of Pesaran, Shin and Smith (2001) <doi:10.1002/jae.616> with the critical values of Kripfganz and Schneider (2020) <doi:10.1111/obes.12377> and with recursive bootstrap critical values following Bertelli, Vacca and Zoia (2022) <doi:10.1016/j.econmod.2022.105987> and McNown, Sam and Goh (2018) <doi:10.1080/00036846.2017.1366643>. Includes Quantile Nonlinear ARDL (QNARDL) combining distributional and asymmetric effects based on Shin, Yu and Greenwood-Nimmo (2014) <doi:10.1007/978-1-4899-8008-3_9>, Fourier ARDL for modeling smooth structural breaks following Enders and Lee (2012) <doi:10.1016/j.econlet.2012.04.081>, and Fourier (bootstrap) nonlinear ARDL. Features include Augmented ARDL (AARDL) with deferred t and F tests, Multiple-Threshold NARDL for complex asymmetries, Rolling/Recursive ARDL for time-varying relationships, and Panel NARDL for nonlinear panel cointegration. All methods include comprehensive diagnostics, publication-ready outputs, and visualization tools.

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3.90 score 4 stars 2 scripts 679 downloads

caustests - Multiple Granger Causality Tests for Time Series and Panel Data

Comprehensive suite of Granger causality tests for time series and panel data. For time series: Toda-Yamamoto (1995) <doi:10.1016/0304-4076(94)01616-8>, Fourier-based tests with single frequency (Enders and Jones, 2016) <doi:10.1515/snde-2014-0101> and cumulative frequencies (Nazlioglu et al., 2019) <doi:10.1080/1540496X.2018.1434072>, quantile causality tests (Cai et al., 2023) <doi:10.1016/j.frl.2023.104327>, and Bootstrap Fourier Granger Causality in Quantiles (Cheng et al., 2021) <doi:10.1007/s12076-020-00263-0>. For panel data: Panel Fourier Toda-Yamamoto (Yilanci and Gorus, 2020) <doi:10.1007/s11356-020-10092-9> and Panel Quantile Causality tests (Wang and Nguyen, 2022) <doi:10.1080/1331677X.2021.1948436>, as well as Group-Mean and Pooled Fully Modified OLS estimators for panel cointegrating polynomial regressions (Wagner and Reichold, 2023) <doi:10.1080/07474938.2023.2178141>. All tests include bootstrap inference for robust p-values.

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3.54 score 1 stars 310 downloads

qardlr - Quantile Autoregressive Distributed Lag Model

Implements the Quantile Autoregressive Distributed Lag (QARDL) model of Cho, Kim and Shin (2015) <doi:10.1016/j.jeconom.2015.05.003>. Estimates quantile-specific long-run (beta), short-run autoregressive (phi), and impact (gamma) parameters. Features include BIC-based automatic lag selection, Error Correction Model (ECM) parameterization, Wald tests for parameter constancy across quantiles, rolling/recursive QARDL estimation, Monte Carlo simulation, and publication-ready output tables.

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3.54 score 1 stars 2 scripts 328 downloads

xtpqardl - Panel Quantile Autoregressive Distributed Lag Model

Estimation of Panel Quantile Autoregressive Distributed Lag (PQARDL) models that combine panel ARDL methodology with quantile regression. Supports Pooled Mean Group (PMG), Mean Group (MG), and Dynamic Fixed Effects (DFE) estimators across multiple quantiles. Computes long-run cointegrating parameters, error correction term speed of adjustment, half-life of adjustment, and performs Wald tests for parameter equality across quantiles. Based on the econometric frameworks of Pesaran, Shin, and Smith (1999) <doi:10.1080/01621459.1999.10474156>, Cho, Kim, and Shin (2015) <doi:10.1016/j.jeconom.2015.05.003>, and Bildirici and Kayikci (2022).

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3.48 score 1 stars 348 downloads

xtdhcoint - Durbin-Hausman Panel Cointegration Tests

Implements the Durbin-Hausman panel cointegration tests of Westerlund (2008) <doi:10.1002/jae.967>. The tests are robust to cross-sectional dependence through common factor extraction using principal components. Provides both group-mean (DHg) and panel (DHp) test statistics with automatic factor number selection via information criteria.

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3.48 score 1 stars 268 downloads

mvardlurt - Multivariate ARDL Unit Root Test

Implements the multivariate autoregressive distributed lag (ARDL) unit root test of Sam, McNown, Goh and Goh (2025) <doi:10.1080/03796205.2024.2439101>. The test augments the ADF regression with the lagged level, the current difference and lagged differences of one or more covariates so that cointegration between the series under test and the covariates is taken into account. The t statistic on the lagged level of the series and the joint F statistic on the lagged levels of the covariates are bootstrapped with the respective null imposed (residual bootstrap), giving critical values and p-values. Provides automatic lag selection via AIC or BIC, diagnostic plots, and the four-case classification of the order of integration of the series.

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3.48 score 1 stars 294 downloads

xtbhst - Bootstrap Slope Heterogeneity Test for Panel Data

Implements the bootstrap slope heterogeneity test for panel data of Blomquist and Westerlund (2016) <doi:10.1007/s00181-015-0978-z>. Tests the null hypothesis that slope coefficients are homogeneous across cross-sectional units using a block bootstrap of the Swamy-type statistic, with the unit-specific variance estimator of the paper or that of Pesaran and Yamagata (2008) <doi:10.1016/j.jeconom.2007.05.010>, whose Delta and adjusted Delta statistics are reported with asymptotic p-values. Supports partialling out of control variables and cross-sectional averages.

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3.48 score 1 stars 1 scripts 350 downloads

xtfifevd - Panel Fixed Effects Filtered and Variance Decomposition Estimation

Implements fixed effects estimators for time-invariant variables in panel data models. Provides three estimation methods: FEVD (Fixed Effects Vector Decomposition) from Plumper and Troeger (2007) <doi:10.1093/pan/mpm002>, and FEF (Fixed Effects Filtered) and FEF-IV (instrumental variables variant) from Pesaran and Zhou (2018) <doi:10.1080/07474938.2016.1222225>. All methods use the Pesaran and Zhou variance estimators, which account for generated regressor uncertainty, and report the full covariance matrix of the time-varying, time-invariant and intercept coefficients.

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3.48 score 1 stars 325 downloads

xtbreakcoint - Panel Cointegration Tests with Structural Breaks

Implements panel cointegration tests allowing for structural breaks and cross-section dependence following the methodology of Banerjee and Carrion-i-Silvestre (2015) <doi:10.1002/jae.2348>. The package provides iterative factor-break estimation, individual ADF tests on defactored residuals, standardized panel test statistics, and the Bai and Ng (2004) <doi:10.1111/j.1468-0262.2004.00528.x> MQ test for identifying common stochastic trends. Supports five model specifications with varying deterministic components and break structures.

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3.48 score 1 stars 284 downloads

boundedur - Unit Root Tests for Bounded Time Series

Implements unit root tests for bounded time series following Cavaliere and Xu (2014) <doi:10.1016/j.jeconom.2013.08.026>. Standard unit root tests (ADF, Phillips-Perron) have non-standard limiting distributions when the time series is bounded. This package provides modified ADF and M-type tests (MZ-alpha, MZ-t, MSB) with p-values computed via Monte Carlo simulation of bounded Brownian motion. Supports one-sided (lower bound only) and two-sided bounds, with automatic lag selection using the MAIC criterion of Ng and Perron (2001) <doi:10.1111/1468-0262.00256>.

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3.48 score 1 stars 2 scripts 384 downloads

cointsmall - Cointegration Tests with Structural Breaks in Small Samples

Implements cointegration tests with structural breaks designed for small sample sizes, following the methodology of Trinh (2022) <https://ideas.repec.org/p/ema/worpap/2022-01.html>. Supports models with no breaks, breaks in constant only, and breaks in both constant and slope. Provides endogenous break date detection using ADF or SSR minimization criteria, with the size-corrected 5% critical values of the response surfaces in Trinh (2022), for up to three regressors.

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3.48 score 1 stars 274 downloads

fqardl - Fourier ARDL Methods: Quantile, Nonlinear, Multi-Threshold & Unit Root Tests

Implementation of ARDL methods for cointegration analysis with structural breaks and asymmetric effects. Includes: (1) Fourier Quantile ARDL (FQARDL), quantile regression with Fourier approximation following the quantile ARDL of Cho, Kim and Shin (2015) <doi:10.1016/j.jeconom.2015.05.003>; (2) Fourier Nonlinear ARDL (FNARDL), asymmetric cointegration with partial sum decomposition following Shin, Yu and Greenwood-Nimmo (2014) <doi:10.1007/978-1-4899-8008-3_9>; (3) a deprecated Multi-Threshold NARDL (MTNARDL) function; (4) Fourier unit root tests, ADF and KPSS tests with Fourier terms following Enders and Lee (2012) <doi:10.1016/j.econlet.2012.04.081> and Becker, Enders and Lee (2006) <doi:10.1111/j.1467-9892.2006.00478.x>. Features automatic lag and frequency selection, Wald bounds statistics with the tables of Pesaran, Shin and Smith (2001) <doi:10.1002/jae.616> (no verdict with Fourier terms, for which the tables are not valid), recursive bootstrap bounds tests following Bertelli, Vacca and Zoia (2022) <doi:10.1016/j.econmod.2022.105987> and McNown, Sam and Goh (2018) <doi:10.1080/00036846.2017.1366643>, Wald tests for asymmetry, multiplier computation, and visualizations.

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3.40 score 1 stars 387 downloads

fbardl - Fourier Bootstrap ARDL Cointegration Test

Implements the Fourier Bootstrap Autoregressive Distributed Lag (FBARDL) bounds testing approach for cointegration analysis. Combines the Pesaran, Shin and Smith (2001) <doi:10.1002/jae.616> ARDL bounds testing framework with Fourier terms to capture smooth structural breaks, as in Yilanci, Bozoklu and Gorus (2020) <doi:10.1016/j.scs.2020.102035>, and recursive bootstrap critical values following McNown, Sam and Goh (2018) <doi:10.1080/00036846.2017.1366643> and Bertelli, Vacca and Zoia (2022) <doi:10.1016/j.econmod.2022.105987>, with the Fourier frequency and the lags selected again in every bootstrap replication (a package choice); finite-sample bounds test critical values from Kripfganz and Schneider (2020) <doi:10.1111/obes.12377> for models without Fourier terms. Features include lag selection via AIC/BIC, Fourier frequency selection by minimum SSR, long-run and short-run coefficient estimation and diagnostic tests.

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3.40 score 337 downloads

tptest - Universal Turning Point and Inflection Point Tests

Performs turning point and inflection point tests for U-shaped and inverse U-shaped relationships in regression models. Implements the Sasabuchi (1980) test as extended by Lind and Mehlum (2010) with support for quadratic, cubic, log-quadratic, and inverse functional forms. Features include delta-method standard errors, Fieller confidence intervals, Simonsohn (2018) two-lines test, and parametric bootstrap. Designed for post-estimation analysis of linear models, panel models, and quantile regression. References: Lind and Mehlum (2010) <doi:10.1111/j.1468-0084.2009.00569.x>; Sasabuchi (1980); Fieller (1954) <doi:10.1111/j.2517-6161.1954.tb00159.x>.

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3.40 score 313 downloads

hatemicoint - Hatemi-J Cointegration Test with Two Unknown Regime Shifts

Implements the Hatemi-J (2008) cointegration test which allows for two unknown structural breaks (regime shifts) in the cointegrating relationship. The test provides three test statistics: ADF* (Augmented Dickey-Fuller), Zt* (Phillips-Perron Z_t), and Za* (Phillips-Perron Z_alpha), along with endogenously determined break dates. Critical values are based on simulations from Hatemi-J (2008) <doi:10.1007/s00181-007-0175-9>. The long-run variance in the Phillips statistics is estimated by default with a prewhitened quadratic spectral kernel and the automatic bandwidth of Andrews (1991) <doi:10.2307/2938229>, following Andrews and Monahan (1992) <doi:10.2307/2951574>.

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3.40 score 1 stars 306 downloads

xtcspqardl - Cross-Sectionally Augmented Panel Quantile ARDL

Implements the Cross-Sectionally Augmented Panel Quantile Autoregressive Distributed Lag (CS-PQARDL) model and the Quantile Common Correlated Effects Mean Group (QCCEMG) estimator for panel data with cross-sectional dependence. The package handles unobserved common factors through cross-sectional averages following Pesaran (2006) <doi:10.1111/j.1468-0262.2006.00692.x> and Chudik and Pesaran (2015) <doi:10.1016/j.jeconom.2015.03.007>. Quantile regression for dynamic panels follows Harding, Lamarche, and Pesaran (2020) <doi:10.1002/jae.2753>. The ARDL approach to cointegration testing is based on Pesaran, Shin, and Smith (2001) <doi:10.1002/jae.616>.

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3.40 score 1 stars 365 downloads

rbfmvar - Residual-Based Fully Modified Vector Autoregression

Implements the Residual-Based Fully Modified Vector Autoregression (RBFM-VAR) estimator of Chang (2000) <doi:10.1017/S0266466600166058>. The RBFM-VAR procedure extends Phillips (1995) FM-VAR to handle any unknown mixture of I(0), I(1), and I(2) components without prior knowledge of the number or location of unit roots. Provides automatic lag selection via information criteria (AIC, BIC, HQ), long-run variance estimation using Bartlett, Parzen, or Quadratic Spectral kernels with Andrews (1991) <doi:10.2307/2938229> automatic bandwidth selection, Granger non-causality testing with asymptotically chi-squared Wald statistics, impulse response functions (IRF) with bootstrap confidence intervals, forecast error variance decomposition (FEVD), and out-of-sample forecasting.

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3.40 score 1 stars 2 scripts 277 downloads

qadf - Quantile Autoregressive Distributed Lag Unit Root Test

Implements the Quantile Autoregressive Distributed Lag (QADF) unit root test proposed by Koenker and Xiao (2004) <doi:10.1198/016214504000001114>. The test examines unit root behaviour across the conditional distribution of a time series using quantile regression, providing a richer characterisation of persistence than standard ADF tests. Critical values follow Hansen (1995) <doi:10.1017/S0266466600009993>. Lag order selection is supported via AIC, BIC, or the t-statistic sequential testing approach.

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3.40 score 315 downloads

xtrec - Panel Unit Root Test Based on Recursive Detrending

Implements the recursively detrended panel unit root tests proposed by Westerlund (2015) <doi:10.1016/j.jeconom.2014.06.015>. Two variants are provided: the basic t-REC test assuming iid errors, and the robust t-RREC test that accounts for serial correlation, cross-sectional dependence, and heteroskedasticity via defactoring and BIC-selected lag augmentation. Both tests have a standard normal null distribution requiring no mean or variance correction. The panel must be strongly balanced.

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3.18 score 1 stars 258 downloads

paneltests - Panel Data Pre-Testing and Diagnostic Suite

Pre-testing and diagnostic tools for panel data analysis. Researchers should run these tests before any panel regression to verify modelling assumptions. The package implements: (1) the Hsiao (2014, <ISBN:978-1-107-65763-2>) homogeneity F-tests (F1/F2/F3), Swamy (1970) <doi:10.2307/1913012> parameter heterogeneity test, and Pesaran (2004) <doi:10.2139/ssrn.572504> cross-sectional dependence test via xtpretest(); (2) missing-data detection, mechanism testing, and imputation for unbalanced panels via xtmispanel(); (3) quantile-regression cross-sectional dependence tests (T_tau and T-tilde_tau statistics) of Demetrescu, Hosseinkouchack and Rodrigues (2023) via xtcsdq(); and (4) the panel quantile-regression slope homogeneity S-hat and D-hat statistics of Galvao, Juhl, Montes-Rojas and Olmo (2017) <doi:10.1093/jjfinec/nbx016> via xtqsh(). Together these tests address three fundamental pre-testing questions: (i) are slopes homogeneous? (ii) is there cross-sectional dependence? and (iii) is the panel balanced and is missingness ignorable?

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2.85 score 1 stars 251 downloads

cointests - Comprehensive Cointegration Tests with Fourier and Panel Methods

A unified toolkit for cointegration testing including Fourier-based cointegration tests (FADL, FEG, FEG2, Tsong) that accommodate smooth structural breaks via flexible Fourier terms, and panel CADF cointegration tests with structural breaks using the Common Correlated Effects (CCE) estimator following Banerjee, Arcabic and Lee (2017) <doi:10.1016/j.econmod.2016.11.004>, Tsong, Lee, Tsai and Hu (2016) <doi:10.1007/s00181-015-1028-6>, and Banerjee and Carrion-i-Silvestre (2025) <doi:10.1080/07350015.2024.2327844>.

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2.70 score 242 downloads

unitrootests - Comprehensive Unit Root and Stationarity Tests

A unified framework for unit root and stationarity testing including quantile ADF tests (Koenker and Xiao, 2004) <doi:10.1198/016214504000001114>, GARCH-based unit root tests with endogenous structural breaks (Narayan and Liu, 2015) <doi:10.1016/j.eneco.2014.11.021>, and comprehensive Dickey-Fuller, Phillips-Perron, KPSS, ERS/DF-GLS, Zivot-Andrews, and Kobayashi-McAleer tests with an Elder-Kennedy decision strategy (Elder and Kennedy, 2001) <doi:10.1080/00220480109595179>.

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2.70 score 1 stars 321 downloads

SVARtca - Transmission Channel Analysis in Structural VAR Models

Implements Transmission Channel Analysis (TCA) for structural vector autoregressive (SVAR) models following the methodology of Wegner, Lieb, Smeekes and Wilms (2025) <doi:10.48550/arXiv.2405.18987>. TCA decomposes impulse response functions (IRFs) into contributions from distinct transmission channels using a systems form representation and directed acyclic graph (DAG) path analysis. Supports overlapping channels, exhaustive 3-way and 4-way decompositions via inclusion-exclusion principle. This is a parallel R implementation of the 'tca-matlab-toolbox' (<https://github.com/enweg/tca-matlab-toolbox>).

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2.70 score 1 stars 376 downloads