OC2543050

University of California - Davis

Elite Note Taker
0Likes
0Blog Articles
All Activity
Blog Articles (0)
Homework Help (0)
UC-DAVISSTA 106Erin MelconSpring

STA 106 Study Guide - Spring 2019, Comprehensive Final Exam Notes - Karishma (1984 Film), Analysis Of Variance, Variance

OC254305030 Page
8 May 2019
0
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture 15: MAT150A_DAY15_Oct31_Lecture

OC25430503 Page
1 May 2019
0
Then the following are equivalent: f is an isometry and f , f ( x ) f ( y ) = x y x , y rn. = a a = then a = b. 2 = 3 need to show f is linear. f ( x +
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 22: Conjugacy Class, American Broadcasting Company, Prime Number

OC25430503 Page
1 May 2019
0
120 = (e) + (ab) + (abc) + (abcd) + (abcde) + (ab)(cd) + (abc)(de) 60 = (e) + (abc) + (abcde) + (ab)(cd) obvi wrong bc 24 does not divide 60. Each one
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 17: Platonic Solid, Cyclic Group, Axa

OC25430504 Page
1 May 2019
0
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 11: Coset, Normal Subgroup, Surjective Function

OC25430504 Page
1 May 2019
0
Let h g be a subgroup, then h is normal a g, ah = ha. H =< (12) >= {e, (12)} eh = h (12)h = {(12), e} (13)h = {(13), (123)} (23)h = {(23), (132)} (123)
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 28: Bijection, Identity Function, Permutation Matrix

OC25430504 Page
1 May 2019
0
Announcements: oh next week only, oct 1-5, mwf 4-5. Recall: elements of sn are bijective functions p = {1, , n} {1, , n, product in sn corresponds to c
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 8: Surjective Function, Group Homomorphism, Bijection

OC25430503 Page
1 May 2019
0
G nite group, h g a subgroup. (lagrange) |g| Denote [g : h] called the index of h in g. To show lagrange we built an equivalence relation x y xy 1 h. W
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 14: Linear Map, Surjective Function, Unit Circle

OC25430503 Page
1 May 2019
0
Enumerating the vertuces if a regular n-gon gives a homomorphism. 6 )) = (123456) hexagon on unit circle enumerated ccw starting with 1 at (1,0) 1 3 5,
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 12: Unit Circle, Dihedral Group

OC25430503 Page
1 May 2019
0
Let m matn n(r) then m on i it"s columns form an orthonormal collection. {ai} form an orthonormal collection of vectors in rn today studying o2 and so2
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 4: Coset, Group Homomorphism, Permutation

OC25430502 Page
1 May 2019
0
G, h nite groups gcd(|g|, |h|) = 1 ! : g h. Example (z15, +) (z4, +) order 15, 4 respectively. 115 (115) so ord (115|ord115 divisors of 15 is 1,3,5,15
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture 19: MAT150A_DAY19_Nov28_Lecture

OC25430503 Page
1 May 2019
0
Example nonfaithful group action g = sn, x = r g x = (g)x (12)x = x, (123) x = x multiply by sign of the permutation. If g x = x x r, we can"t conclude
View Document
UC-DAVISMAT 150AJosé Simental RodríguezFall

MAT 150A Lecture Notes - Lecture 10: Normal Subgroup

OC25430502 Page
1 May 2019
0
G- group g1, g2 g st g1, g2 have nite order but g1g2 has in nite order. If g1g2 = g2g1 then g1g2 has nite order provided both g1, g2 have. Homework: sh
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 11: Likelihood Function, Analysis Of Variance, Complement Factor B

OC25430503 Page
1 May 2019
0
If normality of errors, or equal variance by groups are violated, we can transform our data by yij. We have already seen the following transformations.
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 7: Noncentrality Parameter, F-Distribution, Type I And Type Ii Errors

OC25430503 Page
1 May 2019
0
There are many ways for h0 to be false. When h0 is false, fs is know longer a known f distribution. When you calculate (estimate) power, we assume a sp
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 13: Complement Factor B, Analysis Of Variance, Interaction Model

OC25430503 Page
1 May 2019
0
When a combination of factors from factor a,b have an additional e ect on y than either alone. Factor b = dosage of blood pressure med control. An inte
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 9: Type I And Type Ii Errors, John Tukey, Analysis Of Variance

OC25430502 Page
1 May 2019
0
With anova, we usually want to make more than ci. 1 2, 1 3, 2 3. Typically, you decide what cis you are interested in au priori. Issue when we make k c
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 10: Analysis Of Variance, Independent And Identically Distributed Random Variables, Summary Statistics

OC25430502 Page
1 May 2019
0
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 6: Single-Stage-To-Orbit, F-Test, Asteroid Family

OC25430502 Page
1 May 2019
0
Calculate what propotion of ssto is associated with sse, ssa. State h0 and ha h0 : i = ii = iii and ha : at least one i is di erent. Fs = 3. 592, dfnum
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 5: Single-Stage-To-Orbit, Statistical Hypothesis Testing, White Noise

OC25430502 Page
1 May 2019
0
= sample error sum of squared errors x. We were deriving ssto = ssa + sse i j z x z }| { Y z2 = (x + y)2 = x2 + 2xy + y2 (yij y)2 = (yij yi. Reminder:
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 1: Dependent And Independent Variables, Analysis Of Variance, Standard Deviation

OC25430502 Page
1 May 2019
0
A person, place of thing from which we measure data. Variables that have an e ect on the response variable. Let yi be drawn from a population with mean
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 3: Type I And Type Ii Errors, Standard Deviation, Analysis Of Variance

OC25430503 Page
1 May 2019
0
Assumptions for (pooled) hypothesis testing for 1 2: random sample from both groups, groups independent, y1 y2 n 1 2,r 2. 2 n : 1 = 2 (population stdev
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 2: Linear Combination, Normal Distribution, Standard Deviation

OC25430503 Page
1 May 2019
0
, yn be rvs denoting all possible values of a random sample of size n. Theoretical results: x yi = sample total, if y1, . Yn are independent, then: let
View Document
UC-DAVISSTA 106Erin MelconSpring

STA 106 Lecture Notes - Lecture 4: Analysis Of Variance, Random Variable, Independent And Identically Distributed Random Variables

OC25430503 Page
1 May 2019
0
Recall anova model yij = [overall mean] + [group e ect] + [individual error] Let yij = numeric, xi = categorical variable with a categories. The basic
View Document