Quantitative Traits Flashcards
What are Qualitative traits? How do they differ from Quantitative traits?
Qualitative traits have clear, distinct differences, like Purple or White flowers
Qualitative traits usually have simple genetic causes (ex: P or p)
-Quantitative traits fall somewhere on large spectrum of possibilities
-Quantitative traits often have complex causes
what is the phenotype for Continuous traits ? Is it Quantitative or Qualitative ?
Continuous traits have a phenotype that could be *any REAL NUMBER *
(ex: measure the height of different people; get broad range of heights)
Continuous trait is a QUANTITATIVE trait
What is phenotype for Discontinuous traits?
Discontinuous trait: has a phenotype of an INTEGER
(counting number)
(discontinuous traits not studied a lot on people. useful for fruit fly studies)
ex; counting the number of bristles on fruit flies
What is the phenotype for a threshold trait?
The phenotype for a threshold trait is *PROBABILITY of an event *
ex: BRCA1 mutation causes an increased risk of cancer; hence this changes threshold of whether or not person has cancer
(Threshold traits are important medically)
What are the three different kinds of Quantitative traits?
Continuous, Discontinuous and threshold traits
What are the statistical measures of population? What are the equations for each?
Statistical Measures of population:
Mean= average (X bar) (add up values for everyone and divide by size of group you study)
Variance ; how much individuals differ from the mean
eqaution : summation of (one value- mean) ^2 /(n-1)
n= sample size units: ex. m^2
Standard Deviation; = square root of variance
units; ex. meters
Compare and contrast the differences with High vs low variance ?
Low variance= less variation
high variance = high variability (many differences from mean)
Why do we square the differences in variation equation
We square the differences (xi- mean) ^2 in variance equation:
1. To make all values positive and add up to something we can calculate
2. accentuates the impact of bigger differences
What are the values needed to determine normal distribution in a population ?
mean and standard deviation
What is the median?
Median: a value for which half of the data points are higher and half are lower
-Sort the data into ascending order(least to greatest)
- then look at the one in middle
(if population is normal distribution: the median is close to mean
if not, the population may not have normal distribution)
Why is variance important ? How does it contribute to genetics?
Variance
-our major interest is understanding DIFFERNCES within in a population:
-Comparing different phenotypes helps us understand each of them better
- Evolution requires differences in order to work
-These differences represent the variance, and the average phenotype is the mean
What does standard deviation provide a measure of?
Standard deviation = square root of the variance
*The standard deviation gives a measure of how much the population VARIES from the mean, in useful units.
What’s the normal distribution ?
Normal distribution : is graph that has values of mean and standard deviation
-the mean is in middle part of graph and there is +/- 1SD (standard deviation) that will be 68.2% of population that will occur if population is normally distributed
What creates the normal distribution?
The normal distribution is created by two things:
- A mean
-A set of random events that will make each individual larger or smaller than the mean
For example: watch a quincunx machine
What is a Binomial distribution ?
Binomial distribution: mathematical expansion of yes or no decisions
(usually gives normal distribution curve)
What are the causes of quantitative traits
if there are a bunch of genes involved
Describe the curve in population with one gene and two alleles? What are the phenotypic ratios?
One gene, two alleles
all alleles are co-dominant
(ex; color of flowers; RR- red, Rr is pink and rr- white)
-Heterozygous parents
-In the simplest case:
*THREE classes *
1:2:1 ratios
-Crude cuve
(not quite normal distribution ) (have twice as many heterozygotes (Rr) as homozygous RR or rr)
Describe the curve in population with two genes and two alleles? What are the phenotypic ratios?
Two genes, two alleles
All alleles are co-dominant
-heterozygous parents
-In the simplest case:
*FIVE classes *
-1:4:6:4:1 ratios
-Better curve
(start to look like normal distribution) (lot more choices than previous curve
(1/16 for homo recessive both genes; 1/16 for homozygous dominant; 4/16 3 recessive, 1 dominant (or vice versa) ; 6/16 for two big Dominant alleles and 2 recessive alleles
Describe the curve in population with three genes and two alleles? What are the phenotypic ratios ?
Three genes, two alleles
all alleles are co-dominant
Heterozygous parents
In the simplest case:
*SEVEN classes
1:6:15:20:15:6:1 ratios
-Good curve
(even closer proximation to normal distribution)