ANOVA for Some Non-Normal Data by Inverting Reliability Estimators

Standard analysis of variance assumes observations are normally distributed within groups. This paper develops some analysis of variance tests for data which are Bernoulli, Poisson, exponential, or geometric distributed within groups. The tests are shown in Table 1. For natural exponential family data with conjugate priors for the distribution of means, reliability estimators directly estimate the posterior shrinkage. Using the linear posterior expectation induced by conjugate prior, a method is developed to construct an analysis of variance test by determining an appropriate transformation of a reliability estimator. The sampling distribution of the transformed reliability estimator under the assumption of group mean equality is derived to construct an appropriate test statistic. This method is used to invert the generalized KR21 estimators of Foster (2021) for some non-normal data, and it is also shown that the standard analysis of variance F-test statistic can be transformed into a consistent reliability estimator under the same assumptions. A limited simulation study shows that the inverted KR21 test has, in some scenarios, higher power than a standard analysis of variance or a generalized linear model analysis of variance.

Asymmetry models based on ordered score and separations of symmetry model for square contingency tables

Summary This study proposes two original asymmetry models based on ordered scores for square contingency tables with the same row and column ordinal classifications. The proposed models can be applied to cases in which the scores of all categories are known or unknown. In the proposed models, the log odds for an observation falling in the (i, j)th cell instead of the (j, i)th cell are inversely proportional to the difference of the ordered scores corresponding to categories i and j. The asymmetry parameter of the proposed model can be useful for inferring whether the row variable is stochastically greater than the column variable or vice versa. The proposed models constantly hold when the symmetry model holds, but the converse is not necessarily true. This study also examines what is necessary for a model, in addition to the proposed models, to satisfy the symmetry model, and gives separations of the symmetry model using the proposed and marginal mean equality models. We apply real data to show the utility of the proposed models. The proposed models provide a better fit than that of the existing models.

From timely exegesis to contemporary ecclesiology: Relevant hermeneutics and provocative embodiment of faith in a corona-defined world – Generosity during a pandemic

In a world where economies have no moral conscience, biblical theologians can challenge local cultures with ancient wisdom about generosity and equity. Systemic solutions require changes in the habits of virtue, and this study focuses on the habit of generosity. Building on the work of Stephan Joubert’s Paul as Benefactor, this study concentrates on Paul’s collection in one notable instance: what he says about generosity in 2 Corinthians 8-9 and, in particular, what he means by isotēs in 2 Cor 8:13–15. Does it mean “equality” or “equity”? Beginning with a reinvigorated interest in the economic vision of the apostle Paul about what is meant by “weak” and “good works” and what the Pastoral Epistles communicate with eusebeia (not “godliness” but “social respectability and civility”), we reconsider the collection as an act on the part of the Pauline mission churches to express more than ecclesial unity. This act embodied a theology of grace in mutual reciprocity and in equitable provision on the part of the wealthy for the poor, not least and not limited to those in their own Christian assemblies. The term isotēs is too easily glossed over when translated as “fair balance”, “fairness”, and so the translation of the term with “equity” or “equality” comes closest to the vision of the apostle. Too few studies on this term baptize it sufficiently in the economics of the ancient world and the early Christian radical vision of siblingship and family.Contribution: From the perspective of the Historical Thought and Source Interpretation of the work of Paul, the question of systemic equality or equity is as crucial to navigating the current economic climate as it has ever been. Equality or equity is not limited to Christian communities but following the early church in embodying a theology of grace.

Domestic Work and Parenting

This chapter deals with the last type of work distinguished in the beginning of the book—domestic work. Domestic work is often perceived as the most undesirable type of work. I describe here different attitudes of men and women to domestic work. My analysis shows great gender inequalities. Men are still perceived as helpers of women, whereas women are overwhelmed with the obligation to manage everyday life of their families. I distinguish different strategies used by men to avoid domestic duties, as well as women’s attitudes to them. The chapter deals also with the concept of fairness. I show how parents define fairness and I argue that fairness does not have to mean equality in the division of domestic work. The chapter finishes with the strategies of reducing the number of hours devoted to domestic duties. It shows how that economic inequalities cannot be ignored when discussing this issue, as well as various situations of single and coupled parents.

Empirical Comparison of Tests for One-Factor ANOVA Under Heterogeneity and Non-Normality: A Monte Carlo Study

Although the Analysis of Variance (ANOVA) F test is one of the most popular statistical tools to compare group means, it is sensitive to violations of the homogeneity of variance (HOV) assumption. This simulation study examines the performance of thirteen tests in one-factor ANOVA models in terms of their Type I error rate and statistical power under numerous (82,080) conditions. The results show that when HOV was satisfied, the ANOVA F or the Brown-Forsythe test outperformed the other methods in terms of both Type I error control and statistical power even under non-normality. When HOV was violated, the Structured Means Modeling (SMM) with Bartlett or SMM with Maximum Likelihood was strongly recommended for the omnibus test of group mean equality.

DAMPAK PENERAPAN BEA MASUK ANTI-DUMPING ATAS IMPOR PRODUK TINPLATE

ABSTRACT:Anti-dumping on tinplate products aim to protect domestic industries. Still, some industries want tinplate products not to be subject to anti-dumping because domestic production is not sufficient. This research examines the application of anti-dumping import duties on tinplate products from China, Taiwan, and Korea from 2014 to 2018, to know whether there are differences in the value of imports before and during the anti-dumping import duty. Use secondary data sourced from UN-Comtrade. Samples are selected by countries that have continuously sent tinplate products to Indonesia from 2010 to 2018, namely China, Taiwan, Korea, Japan, Germany, India, and Malaysia. Using the Mean Equality Test, it is known that there are differences in the import value before and during the anti-dumping import duty, with a p-value of 0.0114 less than α (0.05), so it is concluded that there is a difference in the import value of the tinplate product before and during anti-dumping duty. Descriptive analysis results illustrate imports from China and Taiwan tend to decrease. In contrast, imports from Korea tend to increase despite being subjected to anti-dumping duties because they can compete by using preferential tariffs based on free trade schemes.Keywords: Antidumping, Import duty, TinplateABSTRAK:Anti-dumping terhadap produk tinplate bertujuan melindungi industri dalam negeri, akan tetapi terdapat ìndustri yang menginginkan produk tinplate tidak dikenakan anti-dumping karena produksi dalam negeri belum mencukupi. Penelitian ini menguji penerapan bea masuk anti-dumping terhadap produk tinplate dari China, Taiwan dan Korea selama tahun 2014 s.d. 2018, dengan tujuan mengetahui apakah ada perbedaan nilai importasi sebelum dan selama dikenakan bea masuk anti-dumping. Menggunakan data sekunder yang bersumber dari UNComtrade. Sampel dipilih negara yang secara kontinyu mengirim produk tinplate ke Indonesia sejak 2010 s.d. 2018, yaitu China, Taiwan, Korea, Jepang, Jerman, India dan Malaysia. Menggunakan Mean Equality Test, diketahui terdapat perbedaan nilai importasi sebelum dengan selama dikenakan bea masuk anti-dumping. Hasil penelitian menunjukkan bahwa nilai-P (p-value) adalah 0,0114 lebih kecil dari alpha (α=0,05), sehingga disimpulkan terdapat perbedaan pada nilai importasi produk tinplate sebelum dengan selama dikenakan bea masuk anti-dumping. Hasil analisis deskriptif menggambarkan importasi dari China dan Taiwan cenderung menurun sedangkan importasi dari Korea cenderung naik walaupun dikenakan bea masuk anti-dumping karena mampu bersaing dengan menggunakan tarif preferensi berdasarkan skema perdagangan bebas.Kata Kunci: Anti-dumping, Bea Masuk, tinplate

In some professions, women have become well represented, yet gender bias persists—Perpetuated by those who think it is not happening

In efforts to promote equality and combat gender bias, traditionally male-occupied professions are investing resources into hiring more women. Looking forward, if women do become well represented in a profession, does this mean equality has been achieved? Are issues of bias resolved? Two studies including a randomized double-blind experiment demonstrate that biases persist even when women become well represented (evinced in veterinary medicine). Evidence included managers evaluating an employee randomly assigned a male (versus female) name as more competent and advising a $3475.00 higher salary, equating to an 8% pay gap. Importantly, those who thought bias was not happening in their field were the key drivers of it—a “high risk” group (including men and women) that, as shown, can be readily identified/assessed. Thus, as other professions make gains in women’s representation, it is vital to recognize that discrimination can persist—perpetuated by those who think it is not happening.

Analisis Teori Keadilan Menurut Yusuf Qardhawi terhadap Distribusi Konversi Minyak Tanah ke LPG bagi Masyarakat Berpenghasilan Rendah

According to Yusuf Qardhawi theory justice does not always mean equality. This study aims to determine the theory of justice according to Yusuf Qardhawi, the implementation of the distribution of kerosene to LPG conversion programs for low-income people in the Limau Manis sub-village, and analyze the theory of justice according to Yusuf Qardhawi to the kerosene to LPG conversion program for low-income people in the Limau Manis sub-village .The research method used is qualitative research with data collection techniques using questionnaires, interviews, documentation and library research. A sample of 28 people representing each type of work.The results of the analysis of justice theory according to Yusuf Qardhawi can be concluded that justice is not equal, same sense but a balance between individuals and society as well as material and spiritual elements, both the balance between society and other communities. The distribution of the kerosene to LPG conversion program of the kelurahan has not been appropriate and does not comply with government regulations regarding the criteria for the right to get a 3 kg kerosene to LPG conversion program. In the process of implementing distribution to the community carried out by the RT / RW there was also an imbalance because the distribution of the package was not witnessed directly by the distribution officer from the village and this was contrary to the principle of justice Yusuf Qardhawi.Keywords: Theory of Justice Yusuf Qardhawi, Distribution, Conversion of Kerosene to LPG Gas 3 KgAbstrak. Menurut teori Yusuf Qardhawi keadilan tidak selalu berarti pemerataan. Penelitian ini bertujuan untuk mengetahui teori keadilan menurut Yusuf Qardhawi, pelaksanaan distribusi program konversi minyak tanah ke LPG bagi masyarakat berpenghasilan rendah di Dusun Limau Manis, dan menganalisis teori keadilan menurut Yusuf Qardhawi terhadap program konversi minyak tanah ke LPG bagi masyarakat berpenghasilan rendah di Dusun Limau Manis.Metode penelitian yang digunakan adalah penelitian kualitatif dengan teknik pengumpulan data menggunakan penyebaran kuisioner, wawancara, dokumentasi dan library research. Sampelnya sebanyak 28 orang yang mewakili setiap jenis pekerjaan.Hasil dari analisis teori keadilan menurut Yusuf Qardhawi dapat disimpulkan keadilan itu bukan sama rata, sama rasa tetapi keseimbangan antar individu dan masyarakat maupun secara unsur materi dan spiritual, baik keseimbangan antara masyarakat dan masyarakat yang lainnya. Pelaksanaan pendistribusian program konversi minyak tanah ke LPG pihak kelurahan belum tepat dan tidak sesuai dengan peraturan pemerintah tentang kriteria yang berhak mendapatkan program konversi minyak tanah ke LPG 3 kg. Dalam proses pelaksanaan pendistribusian kepada masyarakat yang dilakukan oleh RT/RW juga terjadi ketimpangan karena dalam pembagian paket tersebut tidak disaksikan langsung oleh petugas pendistribusian dari kelurahan dan ini bertentangan dengan prinsip keadilan Yusuf Qardhawi.Kata kunci: Teori Keadilan Yusuf Qardhawi, Pendistribusian, Konversi Minyak Tanah Ke Gas LPG 3 Kg

Equality

Equality has long been a source of political and philosophical controversy. A central question about equality is how one might link empirical or moral claims about the extent to which persons are equal to judgements about the moral acceptability or unacceptability of social inequalities, and in particular how far considerations of equality license social action to bring about greater social equality. A traditional liberal argument holds that approximate equality of human strength makes it prudent for humans to place themselves under a common political authority, thus producing a justification for equality before the law. But any generalization of this argument ignores the cases where strength is unequal and the resulting balance of power unjust. Equality of worth is a principle recognized in many philosophical traditions, but its broad acceptance leaves open many problems of interpretation. In particular, it is not clear how far the principle calls for greater equality of social conditions. Persons may derive a sense of worth from enjoying the fruits of their labour, and this will legitimately block some redistribution; certain inequalities may work to everyone’s advantage; and the impartial concern of the equality principle may be at odds with the sense of ourselves as persons with specific attachments. In this context, some have wanted to soften the interpretation of equality to mean equality of opportunity or merely that inequalities should not be cumulative, although how far these moves are justified is a matter for dispute. By contrast, challenges to the equality principle from considerations of incentives, desert or difference can more easily be met.