
@Manual{winzar2025,
  title = {LikertMakeR: Synthesise and correlate Likert-scale
and related rating-scale data based on summary statistics},
  author = {Winzar, Hume},
  abstract = {LikertMakeR synthesises Likert scale and related rating-scale data with predefined means and standard deviations, and correlates these vectors to fit summary statistics such as Cronbach's alpha, paired and repeated samples, regression and more.},
  publisher = {The Comprehensive R Archive Network (CRAN)},
  month = {12},
  year = {2025},
  version = {1.4.0},
  url = {https://CRAN.R-project.org/package=LikertMakeR}
}

@Manual{winzar2026,
  title = {LikertMakeR: Synthesise and correlate Likert-scale
and related rating-scale data based on summary statistics},
  author = {Winzar, Hume},
  abstract = {LikertMakeR synthesises Likert scale and related rating-scale data with predefined means and standard deviations, and correlates these vectors to fit summary statistics such as Cronbach's alpha, paired and repeated samples, regression and more.},
  publisher = {The Comprehensive R Archive Network (CRAN)},
  month = {03},
  year = {2026},
  version = {2.0.0},
  url = {https://CRAN.R-project.org/package=LikertMakeR}
}



@article{cronbach1951,
  title={Coefficient alpha and the internal structure of tests},
  author={Cronbach, Lee J},
  journal={psychometrika},
  volume={16},
  number={3},
  pages={297--334},
  year={1951},
  publisher={Springer-Verlag}
}


@article{cronbach2004,
author = {Lee J. Cronbach and Richard J. Shavelson},
title ={My Current Thoughts on Coefficient Alpha and Successor Procedures},
journal = {Educational and Psychological Measurement},
volume = {64},
number = {3},
pages = {391-418},
year = {2004},
doi = {10.1177/0013164404266386},
URL = {https://doi.org/10.1177/0013164404266386},
eprint = {https://doi.org/10.1177/0013164404266386},
abstract = { In 1997, noting that the 50th anniversary of the publication of “Coefficient Alpha and the Internal Structure of Tests” was fast approaching, Lee Cronbach planned what have become the notes published here. His aim was to point out the ways in which his views on coefficient alpha had evolved, doubting now that the coefficient was the best way of judging the reliability of an instrument to which it was applied. Tracing in these notes, in vintage Cronbach style, his thinking before, during, and after the publication of the alpha paper, his “current thoughts” on coefficient alpha are that alpha covers only a small perspective of the range of measurement uses for which reliability information is needed and that it should be viewed within a much larger system of reliability analysis, generalizability theory. }
}




@Manual{psych,
  title = {psych: Procedures for Psychological, Psychometric, and
    Personality Research},
  author = {William Revelle},
  organization = {Northwestern University},
  address = {Evanston, Illinois},
  year = {2024},
  note = {R package version 2.4.12},
  url = {https://CRAN.R-project.org/package=psych}
}


@Article{Jennrich1970,
  author    = {Robert I. Jennrich},
  journal   = {Journal of the American Statistical Association},
  title     = {An Asymptotic χ2 Test for the Equality of Two Correlation Matrices},
  year      = {1970},
  number    = {330},
  pages     = {904--912},
  volume    = {65},
  doi       = {10.1080/01621459.1970.10481133},
  publisher = {ASA Website}
}


@Manual{psychTools,
  title = {psychTools: Tools to Accompany the 'psych' Package for
    Psychological Research},
  author = {{William Revelle}},
  organization = {Northwestern University},
  address = {Evanston, Illinois},
  year = {2024},
  note = {R package version 2.4.3},
  url = {https://CRAN.R-project.org/package=psychTools}
}

@book{mcdonald2013test,
  title={Test theory: A unified treatment},
  author={McDonald, Roderick P},
  year={2013},
  publisher={psychology press}
}

@article{hancock2001,
  title={Rethinking construct reliability within latent variable systems},
  author={Hancock, Gregory R and Mueller, Ralph O},
  journal={Structural equation modeling: Present and future},
  volume={195},
  number={216},
  pages={60--70},
  year={2001},
  publisher={Lincolnwood}
}

@article{xiao2023,
  title={Performance of coefficient alpha and its alternatives: Effects of different types of non-normality},
  author={Xiao, Leifeng and Hau, Kit-Tai},
  journal={Educational and Psychological Measurement},
  volume={83},
  number={1},
  pages={5--27},
  year={2023},
  publisher={Sage Publications Sage CA: Los Angeles, CA}
}


@article{zumbo2007,
  title={Ordinal versions of coefficients alpha and theta for Likert rating scales},
  author={Zumbo, Bruno D and Gadermann, Anne M and Zeisser, Cornelia},
  journal={Journal of modern applied statistical methods},
  volume={6},
  number={1},
  pages={4},
  year={2007}
}


@article{gadermann2012,
  title={Estimating ordinal reliability for Likert-type and ordinal item response data: A conceptual, empirical, and practical guide.},
  author={Gadermann, Anne M and Guhn, Martin and Zumbo, Bruno D},
  journal={Practical assessment, research \& evaluation},
  volume={17},
  number={3},
  pages={n3},
  year={2012},
  publisher={ERIC}
}

@article{holgado2010,
  title={Polychoric versus Pearson correlations in exploratory and confirmatory factor analysis of ordinal variables},
  author={Holgado--Tello, Francisco Pablo and Chac{\'o}n--Moscoso, Salvador and Barbero--Garc{\'\i}a, Isabel and Vila--Abad, Enrique},
  journal={Quality \& Quantity},
  volume={44},
  number={1},
  pages={153--166},
  year={2010},
  publisher={Springer}
}



ticle{Likert1932,
author = {Rensis Likert},
title = {A technique for the measurement of attitudes},
journal = {Archives of Psychology},
volume = {22},
number = {140},
pages = {1--55},
year = {1932},
publisher = {Columbia University},
URL = {https://archive.org/details/likert-1932/}
}



@book{dalessandro2020,
  author    = {D'Alessandro, Steven and Winzar, Hume and Lowe, Ben and Babin, Barry J. and Zikmund, William G.},
  title     = {Marketing Research},
  edition   = {5},
  year      = {2020},
  publisher = {Cengage Learning Australia},
  address   = {South Melbourne, Australia},
  url       = {https://cengage.com.au/sem121/marketing-research-5th-edition-dalessandro-babin-zikmund},
  note      = {ISBN not provided; URL links to publisher}
}


@Article{gronneberg2022,
  author  = {Grønneberg, Steffen and Foldnes, Njål and Marcoulides, K. M.},
  journal = {Journal of Statistical Software},
  title   = {covsim: An R Package for Simulating Non-Normal Data for Structural Equation Models Using Copulas},
  year    = {2022},
  number  = {1},
  pages   = {1--45},
  volume  = {102},
  doi     = {10.18637/jss.v102.i03}
}


@misc{heinz2021,
  author       = {Heinz, Andreas},
  title        = {Simulating Correlated Likert-Scale Data In R: 3 Simple Steps},
  year         = {2021},
  howpublished = {\url{https://glaswasser.github.io/simulating-correlated-likert-scale-data/}},
  note         = {Blog post},
  url          = {https://glaswasser.github.io/simulating-correlated-likert-scale-data/}
}


@manual{lalovic2024,
  author       = {Lalovic, Milan},
  title        = {latent2likert: Converting Latent Variables into Likert Scale Responses},
  year         = {2024},
  note         = {R package version 1.2.2},
  url          = {https://latent2likert.lalovic.io/}
}

@article{matta2018,
  author  = {Matta, Tatiana H. and Rutkowski, Leslie and Rutkowski, David and Liaw, Yuh-Lin},
  title   = {lsasim: An R package for simulating large-scale assessment data},
  journal = {Large-scale Assessments in Education},
  volume  = {6},
  pages   = {15},
  year    = {2018},
  doi     = {10.1186/s40536-018-0068-8},
  url     = {https://doi.org/10.1186/s40536-018-0068-8}
}


@manual{pornprasertmanit2021,
  author       = {Pornprasertmanit, Sunthud and Miller, Patrick and Schoemann, Alexander},
  title        = {simsem: R package for simulated structural equation modeling},
  year         = {2021},
  howpublished = {\url{https://simsem.org/}},
  note         = {R package documentation},
  url          = {https://simsem.org/}
}


@book{revelle_inprep,
  author       = {Revelle, William},
  title        = {An Introduction to Psychometric Theory with Applications in R},
  note         = {Working draft. To appear with Springer},
  year         = {in preparation},
  url          = {https://personality-project.org/r/book/}
}


@article{revelle2009,
  title={Coefficients alpha, beta, omega, and the glb: Comments on Sijtsma},
  author={Revelle, William and Zinbarg, Richard E},
  journal={Psychometrika},
  volume={74},
  number={1},
  pages={145--154},
  year={2009},
  publisher={Springer-Verlag}
}

@article{touloumis2016,
  author  = {Touloumis, Anastasios},
  title   = {Simulating Correlated Binary and Multinomial Responses under Marginal Model Specification: The SimCorMultRes Package},
  journal = {The R Journal},
  volume  = {8},
  number  = {2},
  pages   = {79--91},
  year    = {2016},
  doi     = {10.32614/RJ-2016-034},
  url     = {https://doi.org/10.32614/RJ-2016-034}
}



 @Manual{R2024,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2025},
    url = {https://www.R-project.org/}
  }

@Manual{BWStest-Manual,
    title = {{BWStest}: {B}aumgartner {W}ei{\ss} {S}chindler Test of
      Equal Distributions},
    author = {Steven E. Pav},
    year = {2023},
    note = {R package version 0.2.3},
    url = {https://github.com/shabbychef/BWStest}
}

@Manual{BWStest,
	author = {Steven E. Pav},
	title = {{B}{W}{S}test: {R} package for the {B}aumgartner {W}eiss {S}chindler 2-sample test of equal probability distributions.},
	url = {https://github.com/shabbychef/BWStest},
	year = {2023},
	note = {R package version 0.2.3}
}



@article{Baumgartner1998,
 ISSN = {0006341X, 15410420},
 URL = {http://www.jstor.org/stable/2533862},
 abstract = {For two independently drawn samples of data, a novel statistical test is proposed for the null hypothesis that both samples originate from the same population. The underlying distribution function does not need to be known but must be continuous, i.e., it is a nonparametric test. It is demonstrated for suitable examples that the test is easy to apply and is at least as powerful as the commonly used nonparametric tests, i.e., the Kolmogorov-Smirnov, the Cramer-von Mises, and the Wilcoxon tests.},
 author = {W. Baumgartner and P. Weiß and H. Schindler},
 journal = {Biometrics},
 number = {3},
 pages = {1129--1135},
 publisher = {[Wiley, International Biometric Society]},
 title = {A Nonparametric Test for the General Two-Sample Problem},
 urldate = {2025-01-09},
 volume = {54},
 year = {1998}
}

@article{Neuh_user_2005,
title={Exact tests based on the Baumgartner-Weiß-Schindler statistic—A survey},
volume={46},
ISSN={1613-9798},
url={http://dx.doi.org/10.1007/BF02762032},
DOI={10.1007/bf02762032},
number={1},
journal={Statistical Papers},
publisher={Springer Science and Business Media LLC},
author={Neuhäuser, Markus},
year={2005},
month=jan,
pages={1–29}
}


@article{Neuhäuser2001,
author = {Markus Neuhäuser},
title = {One-Sided two-sample and trend tests based on a modified baumgartner-weiss-schindler statistic},
journal = {Journal of Nonparametric Statistics},
volume = {13},
number = {5},
pages = {729--739},
year = {2001},
publisher = {Taylor \& Francis},
doi = {10.1080/10485250108832874},
URL =  {https://doi.org/10.1080/10485250108832874},
eprint = {https://doi.org/10.1080/10485250108832874}
}

@Article{Neuhäuser2005,
author={Neuh{\"a}user, Markus},
title={Exact tests based on the Baumgartner-Wei{\ss}-Schindler statistic---A survey},
journal={Statistical Papers},
year={2005},
month={Jan},
day={01},
volume={46},
number={1},
pages={1-29},
issn={1613-9798},
doi={10.1007/BF02762032},
url={https://doi.org/10.1007/BF02762032}
}



@misc{sapaproject,
	author = {David M. Condon},
	title = {{S}{A}{P}{A}-{P}roject | {Y}our {C}ustomized {P}ersonality {P}rofile {R}eport --- sapa-project.org},
	howpublished = {\url{https://www.sapa-project.org/}},
	year = {2023}
}


@Misc{personalityproject,
  author       = {Wilelle, William},
  howpublished = {\url{https://www.personality-project.org/}},
  note         = {[Accessed 09-01-2025]},
  title        = {{T}he {P}ersonality {P}roject --- personality-project.org},
  date         = {2023}
}




@article{Neuhauser2001,
  title={An exact test for the equality of two distributions: improvements to the Baumgartner–Weiß–Schindler test},
  author={Neuh{\"a}user, Markus},
  journal={Biometrical Journal},
  volume={43},
  number={7},
  pages={841--853},
  year={2001},
  doi={10.1002/1521-4036(200112)43:7<841::AID-BIMJ841>3.0.CO;2-E}
}


@article{Neuhauser2009,
  title={Distribution-free two-sample comparisons in the presence of heteroscedasticity},
  author={Neuh{\"a}user, Markus and Ruxton, Graeme D.},
  journal={Behavioral Ecology and Sociobiology},
  volume={62},
  number={3},
  pages={453--460},
  year={2009},
  url={https://doi.org/10.1007/s00265-008-0683-4}
}


@article{Lilliefors1967,
  title={On the Kolmogorov--Smirnov test for normality with mean and variance unknown},
  author={Lilliefors, Hubert W.},
  journal={Journal of the American Statistical Association},
  volume={62},
  number={318},
  pages={399--402},
  year={1967},
  publisher={Taylor \& Francis},
  doi={10.1080/01621459.1967.10482916}
}

@Book{rosetta,
  title  = {rosetta: Parallel Use of Statistical Packages in Teaching},
  author = {Gjalt-Jorn Peters and Peter Verboon},
  year   = {2023},
  url    = {https://rosettastats.com}
}

@Book{mcdonald2013test,
  author    = {McDonald, Roderick P},
  publisher = {psychology press},
  title     = {Test theory: A unified treatment},
  year      = {2013}
}

@Comment{jabref-meta: databaseType:bibtex;}




@article{dwivedi2019,
    author = {Dwivedi, Abhishek and Johnson, Lester W. and Wilkie, Dean Charles and De Araujo-Gil, Luciana},
    title = {Consumer emotional brand attachment with social media brands and social media brand equity},
    journal = {European Journal of Marketing},
    volume = {53},
    number = {6},
    pages = {1176-1204},
    year = {2019},
    month = {07},
    abstract = {The ever-growing popularity of social media platforms is evidence of consumers engaging emotionally with these brands. Given the prominence of social media in society, the purpose of this paper is to understand social media platforms from a “brand” perspective through examining the effect of consumers’ emotional attachment on social media consumer-based brand equity (CBBE).This paper develops a model that outlines how emotional brand attachment with social media explains social media CBBE via shaping consumer perceptions of brand credibility and consumer satisfaction. An online survey of 340 Australian social media consumers provided data for empirical testing. The inclusion of multiple context-relevant covariates and use of a method-variance-adjusted data matrix, as well as an examination of an alternative model, adds robustness to the results.The findings of this paper support the conceptual model, and the authors identify strong relationships between the focal variables. A phantom model analysis explicates specific indirect effects of emotional brand attachment on CBBE. The authors also find support for a fully mediated effect of emotional brand attachment on social media brand equity. Further, they broaden the nomological network of emotional brand attachment, outlining key outcomes.This paper offers a conceptual mechanism (a chain-of-effects) of how consumer emotional brand attachment with social media brands translates into social media CBBE. It also finds that a brand’s credibility as well as its ability to perform against consumer expectations (i.e. satisfaction) are equally effective in translating emotional brand attachment into social media CBBE.Social media brands are constantly challenged by rapid change and ongoing criticism over such issues as data privacy. The implications from this paper suggest that managers should make investments in creating (reinforcing) emotional connections with social media consumers, as this will favorably impact CBBE by way of a relational mechanism, that is, via enhancing credibility and consumer satisfaction.Lately, social media in general has suffered from a crisis of trust in society. The enhanced credibility of social media brands resulting from consumers’ emotional attachments will potentially serve to enhance its acceptance as a credible form of media in society.Social media platforms are often examined as brand-building platforms. This paper adopts a different perspective, examining social media platforms as brands per se and the effects of emotional attachments that consumers develop towards these. This paper offers valuable insights into how consumers’ emotional attachments drive vital brand judgments such as credibility and satisfaction, ultimately culminating into social media CBBE.},
    issn = {0309-0566},
    doi = {10.1108/EJM-09-2016-0511},
    url = {https://doi.org/10.1108/EJM-09-2016-0511},
    eprint = {https://www.emerald.com/ejm/article-pdf/53/6/1176/669830/ejm-09-2016-0511.pdf},
}



