- 3.6.1: Kim has blood type O and John has blood type A. The blood type of t...
- 3.6.2: Suppose that a gene has k (k > 2) alleles. For that gene, how many ...
- 3.6.3: For the shape of pea seed, the allele for round shape, denoted by R...
- 3.6.4: In humans, the presence of freckles and having free earlobes are in...
- 3.6.5: For Drosophila (a kind of fruit fly), B, the gray body, is dominant...
- 3.6.6: In a population, 1% of the people suffer from hereditary genetic de...
- 3.6.7: In the United States, among the Caucasian population, cystic fibros...
- 3.6.8: Hemophilia is a sex-linked disease with normal allele H dominant to...
- 3.6.9: Color blindness is a sex-linked hereditary disease with normal alle...
- 3.6.10: Hemophilia is a sex-linked hereditary disease with normal allele H ...
- 3.6.11: In a certain country, all children with cystic fibrosis die before ...
- 3.6.12: Let p and q be positive numbers with p + q = 1. For a gene with dom...
Solutions for Chapter 3.6: Applications of Probability to Genetics
Full solutions for Fundamentals of Probability, with Stochastic Processes | 3rd Edition
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
Bivariate normal distribution
The joint distribution of two normal random variables
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
The mean of the conditional probability distribution of a random variable.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
See Control chart.
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Error of estimation
The difference between an estimated value and the true value.
The variance of an error term or component in a model.
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.