Chapter 8
Distributions
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are…
The degree of freedom for a particular statistical calculation is the number of values that are free to vary. Thus, the minimum number of independent…
The population standard deviation is rarely known in many day-to-day examples of statistics. When the sample sizes are large, it is easy to estimate…
The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution…
How does one determine if bingo numbers are evenly distributed or if some numbers occurred with a greater frequency? Or if the types of movies people…
Consider a curve representing sample data drawn randomly from a normally distributed population. One must construct confidence intervals to estimate…
When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate…
The goodness-of-fit test is a type of hypothesis test which determines whether the data "fits" a particular distribution. For example, one…
A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the…
A contingency table provides a way of portraying data that can facilitate calculating probabilities. It is a method of displaying a frequency…
In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their…
The test of independence is a chi-square-based test used to determine whether two variables or factors are independent or dependent. This hypothesis…
Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies…
The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether…
The F distribution was named after Sir Ronald Fisher, an English statistician. The F statistic is a ratio (a fraction) with two sets of degrees of…
A Direct and Simple Method to Assess Drosophila melanogaster's Viability from Embryo to Adult
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In Drosophila melanogaster, viability assays are used to determine the fitness of certain genetic backgrounds. Allelic variations can result in…
Amphiphilic block copolymers like polyethyleneglycol-block-polylactic acid (PEG-b-PLA) can self-assemble into micelles above their critical micellar…
Recent studies that compared transcriptomic datasets of human diseases with datasets from mouse models using traditional gene-to-gene comparison…
