Monday

Genetics Lecture 5, 9/8: Chi-squared statistics, extensions of Mendel

Only half of the audio of today's lecture is recorded due to tech mess-up.

Test Content 30-40 pts. mult. choice and short answer from chapter two.

Chi-square analysis
  • Mendel's Ratios
    • Monohybrid 3:1
    • Dihybrid 9:3:3:1
    • Ratios are based on assumptions:
      • each allele is either dominant or recessive
      • normal segregation
      • independent assortment
      • fertilization is random
    • Chi square analysis allows you to test your assumptions
  • Does your data match your assumptions over a number of cases?
    • Begin with a null hypothesis (Ho). What should your data look like based on your assumptions. This is determined by working out your problem.
  • EX. (8:00)
    • Yellow, round x green, wrinkled
    • 9/16 yellow, round -->587
    • 3/16 yellow, wrinlked--> 197
    • 3/16 green, round --> 168
    • 1/16 green, wrinkled --> 56
    • Total of offspring ------>1,008
    • Multiply the ratios by the total number of offspring to determine the number of expected offspring

    • # of offspring expected (E) (D) Deviation D^2 D^2/E

      587 567 20 400 .71

      197 189 8 64 .34

      168 189 -21 441 2.33

      56 63 -7 49 .78
      Total 1008


      x^2=sum of d^2/E which equals = 4.16
    • --
  • What does the x^2 value tell us?
    • Determine the degrees of freedom by taking n (where n is = to the number of unique individuals) and subtracting 1.
    • In the above problem df=4-1 . . . . 3.
    • You can calculate the P-value. A P-value of .05 --> 1 Fail to reject your original hypothesis. A p-value below .05 you reject your original hypothesis. What you are saying is that there is a greater than 95% chance that your variation is random.
    • We failed to reject the Ho because 4.16 is less than 7.82.

Chap 4 - EXTENSIONS OF MENDEL
  • hw 8,11,19,24,28
  • Concepts
    • Wildtype --> the typical phenotype for a particular trait in a population. Typically a wildtype trait is dominant.
    • Mutant - trait caused by a mutation. typically recessive
  • New letters to be used
    • e+/e
    • e+ = wildtype trait (most often dominant)
    • e = mutant trait
    • multiple alleles: I^a I^v I^o
  • Incomplete dominance - two alleles for a trait and neither allele overtakes the other one completely. "A form of intermediate inheritance in which heterozygous alleles are both expressed, resulting in a combined phenotype." (http://biology.about.com/bldefincomdom.htm)
    • Snapdragon flowers R=red r=white
      • homozygous red, homozygous white, heterozygous pink
      • Typical F1 cross: Rr x Rr
      • 1/4 RR (red 1/4), 1/2 Rr (pink 1/2), 1/4rr (white 1/4)
    • Tay - sach's disease
      • Homozygous recessive. fail to produce enzyme hexosaminidase. Individuals die by age 3.
      • Heterozygous 50% of the WT level of the hexosaminidase your phenotype is normal. (Het. are the carriers)
      • Homozygous dominant you will make 100% of the WT level of enzyme and are phenotypically normal.
  • Codominance - Two alleles of a trait and the heterozygote expresses both alleles. the heterozygote displays the phenotypic characteristics of both alleles. MN blood type is governed by two alleles, M and N. Individuals who are homozygous for the M allele have a surface molecule (called the M antigen) on their red blood cells. The gene that governs ABO blood types has three alleles: IA, IB, and IO. IA and IB are codominant, but IO is recessive.
    • Example is the MN blood groups in humans. a glycoprotein found on the surface of red blood cells
    • M and N are different versions of this glycoprotein.
    • Lm Ln. Cross a heterozygote by M blood group
    • Lm Ln x Lm Lm.
      • 1/2 Lm Lm --> M blood group
      • 1/2 Lm Lm --> M + N blood groups
    • ABO bloodtypes you can have more than 2 alleles in a population. The gene that governs ABO blood types has three alleles: IA, IB, and IO. IA and IB are codominant, but IO is recessive.
      • Ia --> presence of the antigen
      • Ib --> presence of the B antigen
      • Io --> absence of antigen
    • Jen is "O" Ben is "B" blood type. Could they produce an offspring with "O" blood type?
      • Jen is Io Io Ben is IbIo or IbIb
      • If ben is IbIb then all offspring are IbIo
      • IbIo x Io Io then 1/2 (O blood type) and 1/2 IbIo (B blood type)
    • AB x AB. results:
      • 1/4 aa is ab blood
      • 1/2 ab which is ab
      • 1/4 bb is b blood

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