Paper 2B Part 2 Flashcards
Define genepool
all the alleles of all the genes of all the individuals in a population at a given time at a given time
What is natural selection?
the process by which organisms that are better adapted to their environment tend to survive and breed at the expense of those less well adapted.
Phenotypic variation is a result of:
- Genetic factors 2. Environmental factors
Why does genetic variation occur?
- Meiosis 2. Sexual reproduction 3. Main factor – MutationsAll can result in selection occuring
What is the hardy weinberg principle?
A mathematical equation used to calculate the frequencies of the alleles of a gene in a population
The hardy weinberg principle is a ______ analysis
statitical
What does the hardy weinberg principle established what?
- Establishes the frequency of the dominant and recessive alleles- Establishes the frequency of carriers (heterozygotes) in a population
The total frequency of alleles for a gene in a gene pool with only one dominant and recessive alleles will =
1 (100%)
In the equation p+q = 1, what do p and q represent?
Dominant allele = pRecessive allele = q
The frequency that A combines with A in the zygote is
p x p = p2
The frequency that a combines with a in the zygote is
q x q = q2
The frequency that A combines with a in the zygote is
p x q = pq
The frequency that a combines with A in the zygote is
q x p = qp
P2 + 2pq + q2 =
1
What is p2?
the frequency/ number of individuals in that population that are homozygous dominant (AA)
What is 2pq?
the frequency/number of individuals that are heterozygous (Aa or aA)
What is q2?
the frequency / number of individuals in that population that are homozygous recessive (aa)
The Hardy Weinberg formulae is based on the principle that:
The proportion of dominant and recessive alleles of any gene in a population remains from one generation to the next
Key conditions of The Hardy Weinberg formulae ?
- No new mutations arise- The population is isolated (no gene flow / flow of alleles into or out of the population)- There is no selection bias- Population studied is large- Mating is random
Why are the conditions in the hardy Weinberg principle important?
- No new mutations arise – no introduction of new alleles- The population is isolated (no gene flow / flow of alleles into or out of the population) – movement encourages interbreeding which reduces genetic differences between populations- There is no selection bias – natural selection = advantageous alleles favoured- Population studied is large – prevents the effects of random events affecting allele frequencies or changes due to chance- Mating is random – prevents the selection of particular alleles, selective breeding would alter allele frequencies
Null Hypothesis:
.There will be no significant difference between two sets of data
Alternative Hypothesis:
.There will be a significant difference between two sets of data
Statistical Testing –
a mechanism for making quantitative decisions about a process or processes
Chi-squared test used for?
comparing observed and expected values
What is the level of probability?
The level of probability that you can accept or reject your null hypothesis (significant or due to chance)
What does you calculated chi squared value tell you?
Calculate a chi squared valueCompare your calculated value with a critical valueAt a 0.05 level of probability95% confidence the difference is significant5% probability it is due to chance
Degrees of Freedom, what are they with example
.The number of variables that are free to change.Calculated by number of categories (n) – 1.Example: 3 categories – 1 = degrees of freedom is 2
How to analyse chi-squared results
.Conduct your statistical test = calculated chi squared value .Compare calculated chi squared and critical values.If your Chi squared value is higher than the critical value at 0.05 probability, reject the null hypothesis and the results are not due to chance.If your value is LESS, ACCEPT null hypothesis.If your value is GREATER, REJECT null hypothesis.
What does Harry Robinson remind us?
Harry Robinson - HR - Higher Reject, for the chi test
What are the steps to a statistical analysis?
- Formulate a Null Hypothesis 2. Select the appropriate statistical test3. Carry out the calculation 4. Determine the degrees of freedom5. Compare your calculated value to the critical value calculated at 0.056. Compare the calculated value with the critical value: a) Higher than the critical value = difference is not due to chance = reject the null hypothesis b) Lower than the critical value = difference is likely due to chance = accept the null hypothesis
What does a chi-squared test allow us to do?
.Identify significant differences between observed and expected results.Measure the degree of deviation between them.Determine if differences present between data sets (2+) are significant or due to chance
When can we use the chi-squared test?
.Data is categorical Phenotypes i.e. eye colour, gender, location.The portion of numbers expected in each category is known.The number in each category is greater than 5
Chi-squared test formula
Chi-squared = Sum ( (observed result – expected result)^2 / expected result)
What does the funny E mean?
sum of
For the chi-squared test, what is ‘o’?
observed result
For the chi-squared test, what is ‘E’?
Excepted result
What does Chi Squared test allow us to do?
.Identify significant differences between observed and expected results.Measure the degree of deviation between them.Determine if differences present between data sets (2+) are significant or due to chance.
What conditions must apply for the chi-square test?
.Data is categorical (e.g. Phenotypes i.e. eye colour, gender or location).The portion of numbers expected in each category is known.The number in each category is greater than 5
Chi squared test formula and meaning
χ^2=∑((O-E)^2/E)Σ Sum ofO Observed resultE Expected result
Step by step chi squared test
- Formulate a Null Hypothesis 2. Select the appropriate statistical test3. Carry out the calculation 4. Determine the degrees of freedom (n-1)5. Compare your calculated value to the critical value calculated at 0.056. Compare the calculated value with the critical value: 1. Higher than the critical value = difference is not due to chance = reject the null hypothesis2. Lower than the critical value = difference is likely due to chance = accept the null hypothesis
Statistical Analysis Steps
- Formulate a Null Hypothesis 2. Select the appropriate statistical test3. Carry out the calculation 4. Determine the degrees of freedom5. Compare your calculated value to the critical value calculated at 0.056. Compare the calculated value with the critical value: a) Higher than the critical value = difference is not due to chance = reject the null hypothesis b) Lower than the critical value = difference is likely due to chance = accept the null hypothesis
What is the HardyWeinberg Principle
The Hardy-Weinberg principle is a mathematical equation used to calculate the frequencies of the alleles of a gene in a population.Classed as a statistical analysis- Established the frequency of the dominant and recessive alleles- Established the frequency of carriers (heterozygotes) in a population