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soc183week8_Prejudice in Socio Political Life

Course: SOC 183, Fall 2011
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183 SOCIOLOGY Race and Ethnic Relations Session 8: Prejudice in Socio-Political Life: SocioOn Native American Rights Race Problem as Moral Dilemma Clash of the American Creed of equality and individual rights vs Actual practice of prejudice and discrimination di i i ti Values Centered Gunnar Myrdal, 1944. An American Dilemma: The Negro Problem and g American Democracy Race Problem as a Personality Problem P...

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183 SOCIOLOGY Race and Ethnic Relations Session 8: Prejudice in Socio-Political Life: SocioOn Native American Rights Race Problem as Moral Dilemma Clash of the American Creed of equality and individual rights vs Actual practice of prejudice and discrimination di i i ti Values Centered Gunnar Myrdal, 1944. An American Dilemma: The Negro Problem and g American Democracy Race Problem as a Personality Problem P bl T Adorno et al, 1949 The Authoritarian T. al 1949. Personality Authoritarianism was a deep seated deep-seated personality syndrome involving hostility and aggression toward a wide range of ethnic minority and other unconventional groups (e.g., homosexuals). This hostility (e g homosexuals) was based in a general pattern of rigid, unreflective, hyperconforming, unreflective hyperconforming and highly suggestible ways of thinking Race Problem as Socio-Cultural Prejudice P j di "Prejudice, then, can be thought of as irrationally j g y based, negative attitudes against certain ethnic groups and their members." -Pettigrew et al. 1980. Prejudice j Object Appraisal or knowledge function Social adjustment or learning and conformity Externalization anxiety reduction or psychological need and scapegoating Gordon Allport, 1954. The Nature of Prejudice Institutional Critique and Dominance of "S D i f "Structural" A l" Approval l Blalock 1967 Toward a Theory of Blalock, 1967. Minority Group Relations V d B h 1967 R Van den Berghe, 1967. Race and R i d Racism: A Comparative Perspective Wilson, 1973. Power, Racism, and Privilege: Race Relations in Theoretical g and Sociohistorical Perspective Blauner, 1972. Racial Oppression in America Elaborating a More Sociological Approach to Prejudice and Why It Matters Prejudice as Group Position 4 Elements of Group Position theory Group Attachment: In-group sense of superiority Out-Group Derogation: Out-group viewed as alien and different Sense of Entitlement: proprietary claim over certain rights, statuses, and resources Perception o Threat: belief t at members o a e cept o of eat be e that e be s of an out-group seek a greater share of in-group entitlements Prejudice as Group Position 3 Core Assumptions of Group Position Theory Ethno-racial cleavages f d Eh i l l fundamental: racial id i i are quasil i l identities i autonomous social forces, ranking with economic and other institutional dynamics in shaping human social organization p ; Emotions Matter: Affect Central to the Sense of Group Position; that is, racial attachments and the sense of group position have core non-rational or socio-emotional elements Interests Matter: Configuration of Interests and interest groups central to group position since once a set of racialized inequalities have been institutionalize there are meaningful interests that attach to such group positions in a hierarchical and racially stratified social order. Recall the Competing Approaches Socio-cultural prejudice (negative beliefs and feelings) Symbolic racism (new politicized racial resentments--rejection of self- and groupinterests in favor of purely ideational/psychology claim) Consider one Additional Alternative Injustice Frame j Some social policies are rightly viewed as either involving such high costs and unwanted social consequences that sensible people reject them h ibl l j h (on racial neutral basis) OR Some social policies are rightly viewed as violating traditional and cherished moral values de t ed t t u Stinchcombe, Garth Identified with Arthur St c co be, D. Ga t Taylor (sociologists), Paul Sniderman (political scientist), and Philip Tetlock (social sychologist) Substance of the Wisconsin Chippewa T Chi Treaty Ri h Di Rights Dispute Fred & Mike Tribble 1974 Court Cases Culminating in Voight Decision 1983 Why? --usufructory right usufructory --no taste for opening treaty issues within U.S. senate Explosive Controversy in State --protest groups (STA, ERE, PARR) --protests at boatlandings --threats of bombings, shootings, etc --Governor tries to organize Congressional delegation --"buyout" negotiations by state --political recall effort Figure 3.1 Salience of the Treaty Rights Dispute Have you heard or read anything about the controversy over Indian treaty rights? Since January, have you seen any newspaper articles or stories that dealt with Indian treaty rights? 84% 82% 16% 18% N = 711 Yes No N = 588 Source: The Chippewa Indian Treaty Rights Survey 1990. Table 3.5 Treaty Knowledge Questions Do Chippewa monitor hunting and fishing? Yes No Don't Know (N) * Correct response 50.3 %* 31.6 31 6 18.0 (592) Do Chippewa have fish rearing programs? 28.3 %* 32.7 32 7 39.0 (596) Are Chippewa allowed unlimited fishing? 52.0 % 34.5 34 5* 13.5 (591) Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 3.3 Treaty Knowledge 50% 40% 30% 20% 10% 0% All incorrect One correct Two correct All three correct Source: The Chippewa Indian Treaty Rights Survey 1990. Table 3.3 Attitudes Toward Off-Reservation Treaty Rights Off-reservation hunting Strongly favor Somewhat favor No opinion i i Somewhat oppose Strongly oppose (N) 4.1 28.0 8.6 35.0 24.4 (567) Off-reservation fishing 3.4 21.1 5.4 40.1 30.0 (582) Off-reservation logging 1.6 18.5 15.8 35.9 28.1 (581) Source: The Chippewa Indian Treaty Rights Survey 1990. Open-Ended Explanations Attitudes A i d on S Spearfishing fi hi Opposed to spearfishing ("Everyone ( Everyone should have equal rights") "I don t know. My husband and I have I don't know discussed this a lot. Because to me that doesn't seem fair. I think that everyone is y equal. I don't think the color of a person's skin should give them rights or deny them rights" (26 yr. old, female, animal caretaker, some education beyond high school) Open ends cn td Open-ends cn'td Opposition to spearfishing ("Everyone ( Everyone should have equal rights") "We are all American citizens and we all have We to abide by the same Constitution. They shouldn't have more rights than the rest of us. g I can't help it that they got a treaty from years ago. They wanted to be citizens and they are" (45 yr. old, female, records clerk, some education beyond high school) Open ends cn td Open-ends cn'td Opposition to spearfishing ( pp p g ("Everyone should y have equal rights") "It's been a long time since Custer. They should fit into the melting p , and if they can't, they should g pot, y , y have no more rights than we do." (49 yr. old, female, kitchen worker, high school) "Because I think that the white person is now a p minority. I think that what is good for one race is good for them all." (58 yr. old, male, welder, high school) "Well, I just think they are making the white people the minority b giving them something that we d not h i i by i i h hi h do have. And I think that it is going to come to a big fight." (79 yr. old, female, retired high school teacher, college grad ) grad.) Open ends cn td Open-ends cn'td Opposition to spearfishing ("Indians should stay ( Indians on the reservation") "On the reservation, let them spearfish there. Off the reservation, it's equal rights for everyone" (51 yr. old, male, cashier, high school) "Because they have their area to fish in and that's Because that s where they should be. And if they make whites stay off their land, then they should stay put" (38 yr. old, female, sales supervisor, high school) Open ends cn td Open-ends cn'td Opposition to spearfishing ( pp p g ("Will damage supply of fish") g pp y ) "They're taking all the fish." (19 yr. old, male, timber cutter, high school) "They're going to kill all the god-damn fish if they keep going at this rate. It's bullshit and they make a profit off all the fish they take; they sell it" (27 yr. old, male, truck driver, high school) "'Cause they are cleaning out our lakes `til there is nothing, and they don't need it. They all get welfare and everything free " (38 don t it free. yr. old, female, bookkeeper, some education beyond high school) "Well, I believe they re wrecking our natural resources and Well, they're they're not eating what they take. They're doing it just to spite the white people." (42 year old, female, bookkeeper, some education beyond high school) Open ends cn td Open-ends cn'td Favor spearfishing ("Legal right, valid contract") ( Legal contract ) "I think we made an agreement and signed it. It is their land and is part of their rights." (59 yr. old male, clergyman, college grad.) "Because the court said that they could do it. I don't feel my personal opinion goes over their legal rights " rights. (50 yr. old, female, lawyer, post-graduate education) "A contract is a contract, and treaties cannot be abrogated without shame." (36 yr. old, female, physician, post-graduate education) Figure 3.8 Correlation of Prejudice Measures with Treaty Opposition 0.5 0.4 0.3 0.2 0.1 01 0 -0.1 -0.2 -0.3 -0.4 -0.5 Knowledge Scale Black Stereotype Rating Indian Stereotype Rating Negative Affect Toward Indians Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 3.7 Treaty Opposition by Self Interest 0.8 0.7 p < .001 p < .001 Mean .6486 0.6 0.5 0.4 0.3 0.2 0.1 0 Treaty County Non-Treaty County Goes Fishing/Hunting Does not Fish/Hunt Source: The Chippewa Indian Treaty Rights Survey 1990. Table 3.8 Multivariate Models of Treaty Opposition Constant Model 1 .791*** (.050) .002 002* (.001) -.068*** (.020) -.005 (.006) -.084* (.038) -.032 (.025) -.117*** (.028) --Model 2 .645*** (.052) 002** .002 (.001) -.067*** (.019) -.003 (.006) -.078* (.036) -.022 (.024) -.087*** (.027) .112*** (.020) .087*** (.023) --Model 3 .440*** (.070) 002* .002 (.001) -.070*** (.018) -.007 (.005) -.006 (.033) -.007 (.022) -.027 (.025) .067*** (.020) .073*** (.021) -.094** (.030) .087 (.045) ( 045) .214*** (.065) .042 (.073) -.005 (.056) -.015 (.047) .242*** (.041) --Model 4 .424*** (.070) .002 002** (.001) -.070*** (.018) -.007 (.006) -.058 (.033) -.004 (.022) -.028 (.025) .066*** (.019) .073*** (.021) -.090** (.030) .094* (.046) ( 046) .229*** (.055) --- Age Sex Income No HS diploma p Some college BA degree or more Treaty county Goes Fishing/ Hunting --- Knowledge of treaty rights Conservative --- --- --- Stereotypes of Indians --- --- Stereotypes of Blacks --- --- Blacks tend to be poor --- --- --- Indians tend to be poor --- --- --- Negative affect toward Indians Not satisfied with economic situation Finances worsened --- --- .244*** (.040) .026 (.028) -.029 (.026) .30 524 --- --- --- --- --- Adjusted R square .06 .16 N 524 524 Source: The Chippewa Indian Treaty Rights Survey 1990. .30 524 Table 4.1 Injustice Frame Questions Creates Two Classes Hurts Fish Supply Hurts Tourism Treaties are Needed 22 % 26 3 20 30 (586) Strongly agree 18 % 40 % Somewhat agree 37 27 No opinion/neutral 16 8 Somewhat disagree 20 16 Strongly disagree 9 10 (N) (587) (588) Source: The Chippewa Indian Treaty Rights Survey 1990. 32 % 28 9 18 14 (586) Figure 4.1A Relation of Injustice Frame with Psychological Measures 0.6 0.5 0.4 04 0.3 0.2 C Correlation 0.1 0 -0.1 0.1 -0.2 -0.3 -0.4 -0.5 -0.6 Conservatism Knowledge Indian Stereotypes Negative Affect Toward Indians 0.8 0.7 0.6 Mean Score Figure 4.1B Injustice Frame by Self Interest Measures p < .001 p < .001 Mean .60 0.5 0.4 04 0.3 0.2 0.1 0 Treaty County Non-Treaty County Goes Fishing/Hunting Does not Fish/Hunt Source: The Chippewa Indian Treaty Rights Survey 1990. Table 4.2 Symbolic Racism Questions Indians Take Unfair Advantage Indians Get Less Government Attention Indians Have Too Little Influence Indians Work Hard Like Everyone Else Strongly agree 24 % 12 % Somewhat agree 24 19 No opinion/neutral 16 12 Somewhat disagree g 26 30 Strongly disagree 11 27 (N) (587) (583) Source: The Chippewa Indian Treaty Rights Survey 1990. 12 % 25 18 32 13 (581) 16 % 27 19 19 20 (583) Open-Ended Explanations for " Agree" Responses Symbolic Agree Racism "Unfair Advantage" item "Well it just seems that you give them an inch "Well, and they take a mile." (34 yr. old, male, pest control worker, college grad.) "They can have almost anything they want. They get aid and everything else. All you have to do is be an Indian and you get all that stuff, you know." (62 yr. old, male, bus driver, high school) "I shouldn t say this I work in a bank So if they I shouldn't this. bank. want So, to live on a reservation, then they shouldn't get paid by white man's taxes" (53 yr. old, female, female office clerk, high school) clerk Open-ended Symbolic Racism, cn'td 'd "Well, it seems that the government backs them up on g p everything and they seem to get away with everything. And now they get a lumber harvest and we are paying p y g y g ( y for it. It seems we are paying for everything." (42 yr. old male, machine operator, high school) "Well, they sit on their lazy butts and do nothing and they get welfare checks and go sit in bars all night " (23 yr night. yr. old, female, waitress, high school) "I figure that they're, to me, more or less wards of the state. don t state I don't know if they're taking advantage of it or not they re not. In my opinion Indians are the only race that can retire the day they're born. They're just whores, you know." (58 year old, male welder/cutter high school) old male, welder/cutter, 0.6 0.5 0.4 0.3 0.2 Co orrelation Figure 4.2A Relation of Symbolic Racism with Psychological Measures 0.1 0 -0.1 01 -0.2 -0.3 -0.4 -0.5 0.6 -0.6 Conservatism Knowledge Indian Stereotypes Negative Affect Toward Indians Figure 4.2B Symbolic Racism by Self Interest Measures 0.8 0.7 07 0.6 Mean Score p < .001 001 p < .001 Mean .55 0.5 0.4 0.3 0.2 0.1 0 Treaty County Non-Treaty County Goes Fishing/Hunting Does not Fish/Hunt Source: The Chippewa Indian Treaty Rights Survey 1990. Table 4.4 Group Competition Questions Protecting Ri ht f P t ti Rights of Indians Hurts Whites Whites d I di Whit and Indians Have Same Goals Indians Get Ahead I di G t Ah d at Expense of Whites 12 % 20 22 32 14 (583) Strongly agree 12 % Somewhat agree 34 No opinion/neutral 10 Somewhat disagree 33 Strongly disagree 11 (N) (586) Source: The Chippewa Indian Treaty Rights Survey 1990. 21 % 51 10 12 6 (586) Open-Ended Explanations for `Agree' Responses to Group Competition "Get Ahead at Expense of Whites" item Get Whites "If they are getting food stamps and welfare coming out of our taxes, I'm paying for them living without working. Im I'm working for them " (57 yr. old male heavy truck them. yr male, driver, less than high school) "Because they're getting more welfare and housing than the hit th t th whites that need it. They make out like b dit th d it Th k t lik bandits, then throw it away." (38 yr. old, female, sales supervisor, high school) "They are asking too much from the government. Niggers don't get all that. This was their land a long time ago, but that is past." (63 yr. old, female, occupational therapist, less than high school) Table 4.6 Political Threat Questions Rating of Chippewa Rating of Chippewa Leaders Spearfishers Rating of Protesters Who Support Treaty 6% 21 20 39 14 (586) Strongly positive St l iti Somewhat positive No opinion/neutral Somewhat negative Strongly negative (N) 3% 23 46 19 8 (578) 6% 24 27 28 16 (581) Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 4.4A Relation of Group Competition with Psychological Measures 0.6 0.5 0.4 0.3 0.2 Cor rrelation 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 Conservatism Knowledge Indian Stereotypes Negative Affect Toward Indians 0.8 0.7 07 0.6 Mea Score an Figure 4.4B Group Competition by Self Interest Measures p < .001 p < .05 Mean .43 0.5 0.4 0.3 0.2 0.1 0 Treaty County Non-Treaty County Goes Fishing/Hunting Does not Fish/Hunt Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 4.5A Relation of Political Threat with Psychological Measures 0.6 0.5 0.4 0.3 0.2 Co orrelation 0.1 0 -0.1 01 -0.2 -0.3 -0.4 -0.5 -0.6 -0 6 Conservatism Knowledge Indian Stereotypes Negative Affect Toward Indians 0.8 0.7 0.6 Mean Score S Figure 4.5B Political Threat by Self Interest Measures p < .001 p < .001 Mean .55 0.5 0.4 04 0.3 0.2 0.1 0 Treaty County Non-Treaty County Goes Fishing/Hunting Does not Fish/Hunt Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 4.6 Simplification of Racial Attitude Constructs Original Mapping of Constructs 1) Affect Chippewa rating 2) Stereotypes (Alpha = .59) Respect nature Lazy Welfare dependent 3) Injustice Frame (Alpha = .63) Two classes Hurt fish Hurt tourism Need treaty 4) Symbolic Racism (Alpha = .71) Unfair advantage Government attention Indian influence Work hard 5) Group Competition (Alpha = .59) Rights h t Ri ht hurt Same goal Get ahead 6) Political Threat (Alpha = .61) Chippewa leaders pp Chippewa spearfishers Sympathy protests Final Mapping of Constructs 1) Affect Chippewa rating 2) New Stereotypes (Alpha = .74) Respect Nature (ST) Lazy (ST) Welfare dependent (ST) Same goals (GC) Unfair advantage (SR) Work Hard (SR) 3) New Group Competition (Alpha = .71) Rights hurt (GC) Get ahead (GC) Hurt fish (IF) Hurt tourism (IF) Two classes (IF) 4) New Political Threat (Alpha = .72) Chippewa leaders (PT) Chippewa spearfishers (PT) Sympathy protests (PT) S th t t Government attention (SR) Indian influence (SR) Need treaty (IF) Table 4.8 OLS Regression Predicting Opposition to Indian Treaty Rights Constant Age No HS diploma Some college S ll BA degree or more Female Income Treaty county g g Goes Fishing/hunting Conservative Negative affect toward Indians New Indian t N I di stereotype scale t l New group competition New political threat scale Model 1 .57*** (.06) .002* (.001) -.07* (.04) -.02 02 (.02) -.08** (.03) -.06*** (.02) ( 02) -.002 (.01) .11*** (.02) .09*** (.02) .13** (.05) Model 2 .45*** (.06) .002** (.001) -.07* (.03) -.01 01 (.02) -.06* (.03) -.06*** (.02) ( 02) -.001 (.01) .07*** (.02) .07*** (.02) .14** (.05) .31*** (.04) Model 3 .33*** (.06) .001* (.001) -.06* (.03) -.003 003 (.02) -.02 (.02) -.05** (.02) ( 02) -.01 (.01) .04* (.02) .06** (.02) .07 (.04) .17*** (.04) .45*** 45*** (.06) Model 4 .23*** (.05) .001* (.001) -.05 (.03) -.003 003 (.02) -.01 (.02) -.04** (.02) ( 02) -.01 (.01) .03 (.02) .05** (.02) .06 (.04) .11** (.04) .27*** 27*** (.06) .38*** (.05) Model 5 .21*** (.05) .0002 (.001) -.05 (.03) -.01 01 (.02) -.01 (.02) -.05** (.02) ( 02) -.01 (.01) -.001 (.02) .03 (.02) .04 (.04) .01 (.04) .19*** 19*** (.05) .24*** (.04) .48*** (.05) ( 05) .51*** 504 Adjusted R square .16*** .26*** N 504 504 Source: The Chippewa Indian Treaty Rights Survey 1990. .35*** 504 .42*** 504 Table 6.1 Summary of Results Statewide Non-Treaty County Treaty issue salient 84 % 82 % Treaty County 93 % Oppose off-reservation hunting Oppose off-reservation fishing Oppose off-reservation logging Correct answer on 3 knowledge questions Positive rating of anti-treaty protestors Treaty is a very important/important issue Any of the four behaviors All four behaviors Agree with obeying court orders Favor co-management Source: The Chippewa Indian Treaty Rights Survey 1990. pp y g y 59 70 64 9 25 22 18 1 82 73 56 67 60 9 24 20 16 1 82 75 79 86 85 9 32 34 30 2 80 56 Figure 5.3 Issue Centrality One of the most 3% important 19% Very important 4% One of the most important 19% Very important Somewhat important 53% 50% Somewhat important Not too important 25% 27% Not too important Is the treaty rights issue important to you? Is a candidate's position on treaty rights important to your vote for Governor? Source: Chippewa Indian Treaty Rights Survey 1990. Table 5.1 Why Are There Protests Against the Practice of Spearfishing? Protesters prejudiced against Indians Total % Agreeing County Non-treaty county Treaty county Goes Hunting/Fishing No Yes High Opposition to treaty rights Low Medium High 77 % Protesters believe unfair for some to have rights 92 % Media blows problem out of proportion 74 % Protesters believe spearfishing damages fish supply 87 % 80 65 91 97 75 71 86 94 88 72 61 93 92 95 77 73 67 86 88 96 93 78 61 90 91 95 71 83 67 75 91 96 Source: The Chippewa Indian Treaty Rights Survey 1990. Table 5.3 OLS Regression Predicting Centrality of the Treaty Rights Issue Constant Model 1 .484*** (.050) -.001 001 (.001) -.010 (.038) .002 (.025) -.068* (.027) -.033 (.020) ( 020) -.001 (.006) --Model 2 .452*** (.053) -.001 001 (.001) -.001 (.038) .002 (.025) -.064* (.028) -.031 (.020) ( 020) -.002 (.006) .067 (.041) --Model 3 .274*** (.064) -.002* 002* (.001) .014 (.038) .010 (.025) -.041 (.028) -.017 (.020) ( 020) -.000 (.006) .078* (.040) .210*** (.043) --Model 4 .205*** (.063) -.001 001 (.001) -.011 (.037) .014 (.024) -.021 (.027) -.018 (.019) ( 019) -.002 (.006) .060 (.039) .136** (.044) .119*** (.023) .034 (.021) --Model 5 .389*** (.079) -.001 001 (.001) -.018 (.036) .013 (.024) -.018 (.027) -.019 (.019) ( 019) -.004 (.006) .060 (.038) -.171 (.094) -.039 (.069) -.148* (.065) .253** (.101) .252** 252** (.087) .13*** 539 Age A No HS diploma g Some college BA degree or more Sex Income Interest in politics Opposition to treaty rights --- Goes hunting/fishing --- --- North county --- --- --- Hunt/fish*treaty rights --- --- --- North*treaty rights --- --- --- --- Adjusted R square N .01 539 .01 539 .05*** 539 .11*** 539 Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 5.2 Perceptions of Why Protests Occur 100% 90% 80% 70% Percent Agre eeing 60% 50% 40% 30% % 20% 10% 0% Prejudice Unfair Media Hurts fish supply Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 5.4 Involvement in Treaty Rights Dispute 25% 20% Percent Invo olved 15% 10% 5% 0% Attended rally Gave money Signed petition Wrote letter Any of the four Source: The Chippewa Indian Treaty Rights Survey 1990. Figure 5.5 Cumulative Involvement Index by Self-Interest and Opposition to Treaty Rights 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 o C ty un -T on N at re y t un o C y ng hi s g in nt u /H s oe D n h is t un /H h ig H O iti os on um di e p O n ti o si po w Lo n tio si o pp O p < .001 p < .001 p < .001 Mean .2849 Tr ty ea oe G s Fi F ot pp M Source: The Chippewa Indian Treaty Rights Survey 1990. Table 5.4 OLS Regression Predicting Involvement in the Treaty Rights Dispute (Cumulative Behaviors Index) Constant Model 1 .618** (.196) -.001 (.003) .056 (.140) .171 (.092) .001 (.101) -.279*** (.074) -.018 (.022) .443** (.149) ( 149) --Model 2 -.126 (.237) -.001 (.003) .108 (.136) .208* (.089) .123 (.100) -.238*** (.073) -.011 (.022) .442** (.146) ( 146) .581*** (.166) .169* (.086) .187* (.077) --Model 3 -.176 (.222) -.001 (.002) .109 (.127) .198* (.084) .167 (.094) -.211** (.068) -.011 (.020) .365** (.137) ( 137) .468** (.156) .045 (.082) .147* (.072) .636*** (.074) --Model 4 -.142 (.235) -.001 (.002) .110 (.128) .200* (.084) .170 (.094) -.210** (.068) -.012 (.020) .364** (.137) ( 137) .414* (.198) .047 (.082) .146* (.072) .543* (.225) .129 129 (.295) .206 530 Age No HS diploma Some college BA degree or more Sex Income Interest in politics Opposition to treaty rights Goes hunting/fishing --- North county --- High Centrality --- High Hi h centrality*treaty rights li * i h --- --- Adjusted R square N .040 530 .097 530 .208 530 Source: The Chippewa Indian Treaty Rights Survey 1990. Table 5.5 Logistic Regression Predicting Support for Co-Management Constant Age No HS diploma Some college BA degree or more Female Income Treaty county Goes fishing/hunting Conservative Negative affect toward Indians New Indian stereotype scale Zero sum competition scale New political threat scale Medium opposition to treaty rights i ht High opposition to treaty rights Rule of law scale Rule of law*medium opposition Rule of law*high opposition Model 1 1.98** (.66) -.02* 02* (.01) -.12 (.41) .06 (.25) .62* (.31) ( 31) .62** (.21) -.12 (.06) -.69** ( ) (.22) -.59* (.27) -.84 (.54) Model 2 4.54*** (.85) 01 -.01 (.01) -.31 (.44) .17 (.28) .40 (.34) ( 34) .66** (.23) -.12 (.07) -.06 ( ) (.25) -.29 (.29) -.48 (.60) .19 (.54) -1 43 1.43 (.77) -.37 (.71) -4.47*** (.84) Model 3 4.42*** (.87) 01 -.01 (.01) -.44 (.45) .12 (.29) .35 (.35) ( 35) .56* (.24) -.14 (.07) .02 ( ) (.26) -.22 (.29) -.35 (.61) .24 (.55) -1 09 1.09 (.78) -.04 (.75) -3.54*** (.88) -.50 (.45) ( 45) -1.19** (.46) Model 4 3.23*** (1.02) -.01 01 (.01) -.46 (.45) .10 (.29) .28 (.35) ( 35) .62** (.24) -.14 (.07) .01 ( ) (.26) -.14 (.30) -.44 (.62) .20 (.55) -1 01 1.01 (.79) .02 (.76) -3.57*** (.89) -.49 (.45) ( 45) -1.22** (.46) 1.52* (.73) Model 5 .84 (2.09) 01 -.01 (.01) -.47 (.45) .10 (.29) .31 (.36) ( 36) .61** (.24) -.15* (.07) -.02 ( ) (.26) -.11 (.30) -.43 (.62) .23 (.55) -.86 86 (.79) .12 (.76) -3.69*** (.90) 3.45 (2.19) (2 19) .91 (2.01) 5.32 (3.09) -6.16 (3.44) -3.41 (3.20) .24 447 Pseudo R square .09 .21 N 447 447 Source: The Chippewa Indian Treaty Rights Survey 1990. .23 447 .23 447 End of slide show
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Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Notes on Vector Spaces, Bases, and DimensionDefinition 0.1. A vector space is a set of vectors V Rn that satisfies the following properties: 1. If v, w are in V , then v + w is in V . 2.
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Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Practice &amp; Review of Single Variable CalculusFall, 2011We are about to begin our study of multi-variable calculus. Here are some single-variable calculus topics and exercises for you to
Harvard - MATH - 20
Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Lines and PlanesSeptember 16, 2011Find the following line and planes, using either parametric form or an equation. Let P = (1, 2, 3, 4), Q = (2, 3, 4, 4), and R = (0, 0, 2, 0). 1. Find
Harvard - MATH - 20
Harvard University, Math 20 Fall 2010, Instructor: Rachel Epstein1Review sheet 21. Vector spaces, bases, and dimension (from supplement) (a) Know the definitions of vector space, basis, and dimension. Be able to identify when something is or is not a v
Harvard - MATH - 20
Math 20 Midterm 2 ReviewCarolyn Stein Exam Date: November 9, 2011Eigenvectors and EigenvaluesWhat are Eigenvectors and Eigenvalues?&quot;Eigen&quot; is German for &quot;own&quot; or &quot;characteristic&quot; If A~ = ~ , we say ~ is an eigenvector of matrix A with an associated ei
Harvard - MATH - 20
Math 20 Midterm 2 Review (Solutions)Carolyn Stein Exam Date: November 9, 2011Eigenvectors and EigenvaluesWhat are Eigenvectors and Eigenvalues?&quot;Eigen&quot; is German for &quot;own&quot; or &quot;characteristic&quot; If A~ = ~ , we say ~ is an eigenvector of matrix A with an a
Harvard - MATH - 20
Math 20 Midterm ReviewCarolyn Stein October 4, 2011Systems of Equations and the Leontief ModelExample: Table 1: A Farming Economy Input for 1 unit Input for 1 unit Input for 1 unit of tomatoes of tomato seeds of labor 0 0.33 0.2 0.5 0 0 0.5 0.2 0Exter
Harvard - MATH - 20
Name: Linear Algebra and Multivariable Calculus Math 20 Fall 2011 Midterm 2 Please write neatly and show all your work, using proper notation. Don't hesitate to ask me questions if anything isn't clear. There are 100 points total. The point values of each
Harvard - MATH - 20
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Harvard - MATH - 20
Here is a list of topics that may be covered on the first midterm, and problems to help you prepare. The intention is not that you will do all the problems, but that you will use this to identify the areas that you need to study and try to do some problem
Harvard - MATH - 20
1. True. The constraint is a circle, which is a closed, bounded set. The EVT says the functions on closed bounded sets have a max and min. 2. False. This constraint is a parabola, which is unbounded. The EVT only holds for closed, bounded sets. 3. False.
Harvard - MATH - 1a
Math 1a 1Velocities, Secants &amp; TangentsFall, 2009My father lives a two-and-a-half hour (150 minute) drive away. On a recent trip to visit him I recorded the trip odometer at regular intervals: Time (minutes) 0 30 60 90 120 150 Distance (km) 0 30 80 135
Harvard - MATH - 1a
Math 1a 1Limits of FunctionsFall, 2009The graph below shows the plot of a function y = f (x). Determine whether the limits shown below exist. If the given limit does exist, find this limit.. . . . . 2 . . . . . . . . . . . -2 2 4 6 8(a) lim f (x)x0
Harvard - MATH - 1a
Math 1a'The Chain Rule Another Differentiation RuleFall, 2009$The Chain Rule: Suppose F (x) = f (g(x) (or F = f g). Further suppose that g is differentiable at x and f is differentiable at g(x). Then F is differentiable at x and F (x) = f (g(x)g (x)
Harvard - MATH - 1a
Math 1a'Implicit DifferentiationFall, 2009$Often functions are defined explicitly, like y = x3 ex or y = cos(x + 1). But sometimes functions are defined implicitly, like the circle x2 +y 2 = 1. This is really two functions y = 1 - x2 and y = - 1 - x2
Harvard - MATH - 1a
Math 1a 1Derivatives &amp; LogarithmsFall, 2009In this problem, we'll figure out the derivative of ln(x) and loga (x) (where a is a positive constant other than 1). We'll do this in the same way we found the derivatives of arcsin(x), arccos(x), and arctan(
Harvard - MATH - 1a
Math 1a'Linear Approximations Linear ApproximationFall, 2009$A linear approximation is f (a) dy y . If y = f (x), then this can be re-written as dx x or y f (a) + f (a)(x - a)y y - f (a) = x x-anear the point (x, y) = (a, f (a). This is the tangen
Harvard - MATH - 1a
Math 1a 1Related RatesFall, 2009Two cars are approaching an intersection. A red car, approaching from the north, is traveling 30 feet per second and is currently 60 feet from the intersection. A blue car, approaching from the east, is traveling 20 feet
Harvard - MATH - 1a
Math 1aMaxima and MinimaFall, 2009For each of the following functions, find the absolute maximum or minimum on the given closed interval [a, b] by following these steps: 1. Find the critical numbers of f (that is, the numbers c so that f (c) is zero or
Harvard - MATH - 1a
Math 1a 1 Show that1 2 xMVT and Two Derivative TestsFall, 2009= 5- 3 2for some x between 3 and 5.2A differentiable function f (x) satisfies f (x) 2 for all x. If f (0) = 1, what can we say about f (3)?3Show that 1 x + 1 1 + 2 x for x 0.4Suppo
Harvard - MATH - 1a
Math 1aGraphingFall, 2009Some questions to answer while graphing: (1) What is the domain of y = f (x)? (2) Where does the graph of y = f (x) cross the axes? (3) Where is the tangent to y = f (x) vertical or horizontal? (4) Where is the graph of y = f (
Harvard - MATH - 1a
Math 1a 1OptimizationFall, 2009(a) Suppose a rectangular region has fixed perimeter of 40 cm. What is the largest area the region can have?(b) Suppose now that the region was in the shape of a right triangle, not a rectangle. If the perimeter is still
Harvard - MATH - 1a
Math 1aOptimization Day TwoFall, 2009. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Harvard - MATH - 1a
Math 1a'L'H^pital's Rule o Indeterminate FormsFall, 2009$We're considering lim Typexaf (x) . We begin with several indeterminate forms: g(x)0 : lim f (x) = 0 and lim g(x) = 0 xa 0 xa Type : lim f (x) = or - and lim g(x) = or - xa xa L'H^pital's Ru
Harvard - MATH - 1a
Math 1a'L'H^pital's Rule Day Two o More Indeterminate FormsFall, 2009$Now let's consider several new indeterminate forms: Type 00 : lim f (x)g(x) with lim f (x) = 0 and lim g(x) = 0xa xa xa xaType : lim f (x)xa0g(x)with lim f (x) = and lim g(x)
Harvard - MATH - 1a
Math 1aThe Definite IntegralFall, 2009We define the definite integral of y = f (x) from x = a to x = b asb nf (x) dx = limanf (x )x ii=1where xi-1 x xi . Note that x could be xi (in which case we have the limit of Rn ) or xi-1 (in i i which case
Harvard - MATH - 1a
Math 1a'Calculating Definite Integrals The Definite IntegralIf F (x) is any anti-derivative of f (x) (that is, if F (x) = f (x), then the definite integral of f (x) from a to b isb bFall, 2009$f (x) dx = F (x)a a= F (b) - F (a).%&amp;Compute the f
Harvard - MATH - 1a
Math 1a'It's Fundamental The Fundamental Theorem:Fall, 2009$Suppose f (x) is continuous on an interval I = [a, b].x1. If g(x) =a bf (t) dt, then g (x) = f (x).2.af (x) dx = F (b) - F (a), where F (x) is any anti-derivative of f (x) (that is, F
Harvard - MATH - 1a
Math 1a 1One Last Fundamental Theorem ProblemxFall, 2009(a) Let f (x) =0tn dt for some fixed n &gt; 0. Find f (x).xn(b) Let g(x) =0t1/n dt for the same fixed n &gt; 0. Find g (x).xxn(c) Let F (x) = f (x) + g(x) =0t dt +0nt1/n dt for this value
Harvard - MATH - 1a
Math 1a'SubstitutionFall, 2009$The Substitution Rule:Suppose u = g(x) is a differentiable function with domain an interval I and f (x) is continuous on I. Then f (g(x)g (x) dx = f (u) du. Thus we can make substitutions and treat du and dx like diffe
Harvard - MATH - 1a
Math 1a 31 x2 dx x3 + 1More Substitution32 xex dx2Fall, 200933dx 2 x (ln x) + 4x ln x + 4x34e x dx x1/935-1(x + 1)3 dx360sin(3x) dx3370dx (2x + 1)2/238/4cot(x) dx/61390sin3 (2x) cos(2x) dx4001 dx 1 + 4x24410x dx 1 + 4x2
Harvard - MATH - 1a
ANTIDERIVATIVESRecall that an antiderivative of f is a function whose derivative is f . For example, 1 if F (x) = x3 , then F (x) = x2 ), thus F (x) is an antiderivative of x2 . We should 3 1 notice, however, that the function G(x) = x3 + 1 also satisfie
Harvard - MATH - 1a
AREAS AND DISTANCESSuppose that we want to find the area under a curve. First of all, we need to define what the area is. If we have a rectangle, it is relatively easy, because we can simply define the area as the product of the length and the width. We
Harvard - MATH - 1a
CHAIN RULERecall the bottle calibration problem. If we increase the amount of water dripped into a bottle twice as much, then, no matter what the shape of the bottle is, the height of the water will raise twice as fast. This suggests that, if we have a c
Harvard - MATH - 1a
CONTINUITYWe have seen that the limit of a function as x approaches a can sometimes be found by calculating the value of the function at x = a. Functions with this property are called continuous at a. Mathematical definition is as follows. Continuity A f
Harvard - MATH - 1a
THE DEFINITE INTEGRALWe saw a limit of the formn nlim [f (x )x + f (x )x + + f (x )x] = lim 1 2 nnf (x )x ii=1Because this form arises frequently in a wide variety of situations, we give this type of limit a special name and notation. Definition 1.
Harvard - MATH - 1a
DERIVATIVES OF POLYNOMIALS AND EXPONENTIAL FUNCTIONSFor basic functions, we have differentiation rules as follows. d 1. (c) = 0. dx 2. 3. d (x) = 1. dx d n (x ) = nxn-1 . dxIf we know derivatives of certain functions, we can calculate derivatives of new
Harvard - MATH - 1a
DERIVATIVE AS A FUNCTIONIf we replace a by x in the definition of the derivative of a function f at a number a, we can get f (x + h) - f (x) f (x) = lim . h0 h So we can define a function that gives us the slope of the tangent line at each point, and we
Harvard - MATH - 1a
WHAT DOES f SAY ABOUT fSince f (x) represents the slope of the curve y = f (x), we can find the direction in which the curve proceed at each point. Thus, we can find some information about f (x) from information about f (x). In particular, we will see ho
Harvard - MATH - 1a
THE DERIVATIVEWhenever we calculate the slope of a tangent line, the velocity of an object, or any rates of change such as a rate of reaction in chemistry, a marginal cost in economics, or a population growth in biology, we encounter limits of a typexa
Harvard - MATH - 1a
EVALUATING DEFINITE INTEGRALSAlthough we could calculate some definite integrals, it was quite tedious and time-consuming. Sir Issac Newton, the creator of Calculus, found a much simpler way to evaluate definite integrals by using antiderivatives. It con
Harvard - MATH - 1a
THE FUNDAMENTAL THEOREM OF CALCULUSThe first part of the Fundamental Theorem of Calculus describes functions defined by an equation of the formxg(x) =af (t)dtwhere f is a continuous function on [a, b] and x varies between a and b.xExample 1. Let g
Harvard - MATH - 1a
Math 1a: Lecture 2September 11, 20091. The following are some odometer readings during my bike ride to Harvard: Time (hh:mm) Distance (meters) 10:00 0 10:01 610 10:02 980 10:04 1240 10:05 1250 10:06 1260 10:08 1520 10:09 1890 10:10 2500(a) What was my
Harvard - MATH - 1a
Math 1a: Limit LawsSeptember 16, 20091. Let f be a function such that f (2.01) = 0, f (2.001) = 0, f (2.0001) = 0, and so on. Can we conclude that limx2 f (x) = 0?2. Suppose we know that limx5 f (x) = 3. Which of the following must be true? (a) f (5) =
Harvard - MATH - 1a
Math 1a: ContinuitySeptember 18, 20091. At which values of x are the following functions continuous? (a) a(x) = x , the greatest integer less than or equal to x.(b) b(x) = the taxi fare (in dollars) for distance x (in miles). Assume that the meter tick
Harvard - MATH - 1a
Math 1a: Intermediate Value TheoremSeptember 21, 2009Sample problem: Prove that there is a number c such that c2 = 2. Sample good answer: Let f (x) = x2 . We have f (0) = 0 and f (2) = 4; hence f (0) &lt; 2 &lt; f (2). Since f (x) is continuous on [0, 2], the
Harvard - MATH - 1a
The DerivativeSeptember 28, 20091. Find the equation of the tangent line to the following functions at the given point. 1. f (x) = x3 + 4x at x = 1.2. f (x) =1 at x = 0. x+43. f (x) =x at x = 2.2. Let f (x) = x2 sin(1/x) for x = 0 and f (0) = 0. Wh
Harvard - MATH - 1a
The derivative functionSeptember 30, 20091. Let f (x) = x(x - 1)(x - 2) = x3 - 3x2 + 2x. Determine f (x) using the limit definition. Sketch f (x) and f (x), and compare the graphs.2. Let h(x) = |x - 1| + |x + 1|. On what intervals is h(x) continuous? W
Harvard - MATH - 1a
Math 1a: What does f say about f ?October 02, 20091. The following is the graph of the velocity s(t) (in m/s) of a particle as a function of time t (in s).st 42246ta. Sketch a graph of the acceleration a(t).b. Sketch the graph of the position p(
Harvard - MATH - 1a
Math 1a: Product/quotient rules and applicationsOctober 9, 20091. Determine the following derivatives. d 1. (tet ). dt2.d 3 s (s 2 ). ds3.d dpp2 . p2 + 12. Differentiate the following functions of x in two different ways. Check that your answers a
Harvard - MATH - 1a
Math 1a: Derivatives of trigonometric functionsOctober 14, 2009d d sin x = cos x and cos x = - sin x to compute dx dx c. d sec x dx1. Use a.d tan x dxb.d cot x dxd.d csc x dx2. Find the following limits. a. limh0tan h hb. limh0sin 2h sin h3.
Harvard - MATH - 1a
Math 1a: The chain ruleOctober 16, 20091. Differentiate following functions. 1. (x - 1)(x + 3)112. ex23. f (x) = 2x tan x4.x+x+x2. Some liquid is poured in a (conical) glass. Denote the volume of the liquid in the glass at time t by V (t). At wh