2020
DOI: 10.1080/02331888.2020.1726918
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On one-sample Bayesian tests for the mean

Abstract: This paper deals with a new Bayesian approach to the standard onesample z-and t-tests. More specifically, let x1, . . . , xn be an independent random sample from a normal distribution with mean µ and variance σ 2 .The goal is to test the null hypothesis H0 : µ = µ1 against all possible alternatives. The approach is based on using the well-known formula of the Kullbak-Leibler divergence between two normal distributions (sampling and hypothesized distributions selected in an appropriate way). The change of the d… Show more

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Cited by 13 publications
(5 citation statements)
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“…To evaluate the impact of using the module on the changes in students' attitudes and entrepreneurial intentions, this research employed a t-test formula. The formula was used to test the deviation of two population means (Abdelrazeq et al, 2020).…”
Section: Discussionmentioning
confidence: 99%
“…To evaluate the impact of using the module on the changes in students' attitudes and entrepreneurial intentions, this research employed a t-test formula. The formula was used to test the deviation of two population means (Abdelrazeq et al, 2020).…”
Section: Discussionmentioning
confidence: 99%
“…Use sample statistics to estimate the population by finding out the confidence interval for the difference between two population proportions [2]. In this method, generally make hypotheses and calculate confidence intervals to define whether the hypothesis is true or wrong.…”
Section: Methodology ⅰmentioning
confidence: 99%
“…The relative belief ratio was developed in [9], and it has become a widely used tool in the theory of Bayesian statistical hypothesis testing. For some references, see, for example, [11][12][13][14]. Suppose a statistical model is given by the density function { f θ (x) : θ ∈ Θ} with respect to Lebesgue measure on the parameter space Θ.…”
Section: Inferences Using Relative Beliefmentioning
confidence: 99%