The dozen may be one of the earliest primitive integer groupings, perhaps because there are approximately a dozen cycles of the Moon, or months, in a cycle of the Sun, or year. Twelve is convenient because it has a maximal number of divisors among the numbers up to its double, a property only true of 1, 2, 6, 12, 60, 360, and 2520.[1]
The use of twelve as a base number, known as the duodecimal system (also as dozenal), originated in Mesopotamia (see also sexagesimal). Twelve dozen (122 = 144) are known as a gross; and twelve gross (123 = 1,728, the duodecimal 1,000) are called a great gross, a term most often used when shipping or buying items in bulk. A great hundred, also known as a small gross, is 120 or ten dozen.Dozen may also be used to express a moderately large quantity as in "several dozen" (e.g., dozens of people came to the party).[2]
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The phrase "half a dozen" means six (6) of something, as 6 is half of 12. The idiom "six of one, half a dozen of the other" means two options are of equal worth so choosing one is the same as choosing the other.[12]
A baker's dozen, devil's dozen,[13][14] or long dozen is 13, one more than a standard dozen. The broadest use of baker's dozen today is simply a group of thirteen objects (often baked goods).[15] The term has meant different things over the last few centuries.
In England, when selling certain goods, bakers were obliged to sell goods by the dozen at a specific weight or quality (or a specific average weight). During this time, bakers who sold a dozen units that failed to meet this requirement could be penalized with a fine. Therefore, to avoid risking this penalty, some bakers included an extra unit to be sure the minimum weight was met, bringing the total to 13 units or what is now commonly known as a baker's dozen.[16][17] The thirteenth piece of bread is called the vantage loaf.[18]
According to the Oxford English Dictionary, the term "baker's dozen" originated in the late 16th century and is "apparently so called after the former practice among bakers of including a thirteenth loaf when selling a dozen to a retailer, the extra loaf representing the retailer's profit."[19]
According to the 1811 Classical Dictionary of the Vulgar Tongue, by Francis Grose, "a Baker's Dozen is Thirteen; that number of rolls being allowed to the purchaser of a dozen".[20] However, contrary to most sources, according to the anonymous 1785 version of that dictionary, which was probably also by Grose, "a Baker's Dozen is Fourteen, that number of rolls being allowed to the purchaser of a dozen".[21]
A lesser-used regionalism is the Texas dozen, which generally consists of 15. This is typically used only in Texas and surrounding areas for such goods as flowers or baked goods, although can be applied to anything that is counted, such as photographs.[22]
In terms of the dozen copies statistic, I can\u2019t evaluate it because it is unclear what it\u2019s referring to. Fifty-eight thousand books is more books than PRH publishes in a given year, but far less than their entire backlist. Is 58k all new books published with an ISBN, including self-published books? Is it something else? I really don\u2019t know and none of the publishing professionals I follow seem to know either. (Editing to add: Jane Friedman, who posted this number originally on Instagram, noted there was no source given in testimony. Friedman gives her own guess in the comments.)
The P value is a measure of statistical evidence that appears in virtually all medical research papers. Its interpretation is made extraordinarily difficult because it is not part of any formal system of statistical inference. As a result, the P value's inferential meaning is widely and often wildly misconstrued, a fact that has been pointed out in innumerable papers and books appearing since at least the 1940s. This commentary reviews a dozen of these common misinterpretations and explains why each is wrong. It also reviews the possible consequences of these improper understandings or representations of its meaning. Finally, it contrasts the P value with its Bayesian counterpart, the Bayes' factor, which has virtually all of the desirable properties of an evidential measure that the P value lacks, most notably interpretability. The most serious consequence of this array of P-value misconceptions is the false belief that the probability of a conclusion being in error can be calculated from the data in a single experiment without reference to external evidence or the plausibility of the underlying mechanism. 0852c4b9a8
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