Question: Of which association are both University of Michigan and University of Kansas part of?
Context: The Michigan–Michigan State basketball rivalry is a college basketball rivalry between Michigan Wolverines men's basketball and Michigan State Spartans men's basketball that is part of the larger intrastate rivalry between the University of Michigan and Michigan State University that exists across a broad spectrum of endeavors including their general athletic programs: Michigan Wolverines and Michigan State Spartans.  On the field, the athletic rivalry includes the Paul Bunyan Trophy and the Michigan–Michigan State ice hockey rivalry, but extends to almost all sports and many other forms of achievement.  Both teams are members of the Big Ten Conference.  The rivalry has been evidenced both on the court and off the court.  Among the off the court elements of the rivalry, recruiting of basketball talent has resulted in battles, the most notable of which turned into the University of Michigan basketball scandal when both schools sought the services of Mateen Cleaves. Robert P. Briggs (April 3, 1903 – September 2, 1998) was Chairman of the Federal Reserve Bank of Chicago Board of Directors, Vice-President of Finance of the University of Michigan, and Executive Vice-President of Consumer Power Company of Jackson, Michigan.  A graduate of the University of Michigan, Briggs served as a professor in the University's School of Business Administration, first as an administrator, and eventually as a member of the Board of Regents.  Robert Briggs spent 17 years as an Executive Vice-President at the Consumer Power Company, where he led various committees and organizations within the state of Michigan.  Some of these organizations included: the Michigan United Fund, the Michigan State Chamber of Commerce, the Michigan Traffic Safety Commission, and the Alumni Association of the University of Michigan.  Dividend magazine, a publication by the University of Michigan's then School of Business Administration, described Briggs' career as having, "embraced both academic and business worlds, and his activities have covered an almost endless range of community and business affairs." Ruth Pickett Thompson is a former All-American synchronized swimmer for the University of Michigan.  A native of Richmond, Virginia, she was named an All-American in four consecutive years from 1978 to 1981, and also placed among the top three individuals at the Intercollegiate Synchronized Swimming Championships in each of those years.  Synchronized swimming was one of the six original varsity sports for women.  Under the coaching of Joyce Lindeman, the varsity team finished second in the Association of Intercollegiate Athletics for Women tournament in 1977 and 1978.  Thompson was the leader of the 1977 and 1978 squads, and was honored with the Association for Intercollegiate Athletics for Women's 1979 and 1980 Broderick Awards as the nation's top collegiate athlete in her sport.  She also received the 1981 Marie Hartwig Award winner as the University of Michigan's female athlete of the year.  In 1998, she received the Gerald R. Ford Award, presented each year to a single former student-athlete who epitomizes excellence in scholarship, sport and society.  In February 2008, she was inducted into the University of Michigan Athletic Hall of Honor along with Heisman Trophy winner Desmond Howard.  In February 2008, Thompson said the Ford Award and the induction into the Hall of Honor rank at the top of her top achievements.  "I was quite surprised when I got the phone call, so I was very thrilled and honored to be recognized by the university and athletic department," she said.  Her two sons, both students at the University of Michigan, attended the Hall of Honor induction ceremonies.  She noted at the time: "My children and husband were thrilled about this award because Desmond Howard was being inducted with me, so this one is a lot cooler" than other honors.  Thompson remains involved with synchronized swimming, swimming with U-M's masters group, which takes part in the national competition every year.  She currently lives in the St. Clair County, Michigan, works as a substitute teacher and volunteers in school, community and church organizations. The Michigan Competing Band Association (MCBA) is a sanctioning body for high school marching band field contests in the state of Michigan, established in 1974.  Not only does it host a great number of local competitions around the state, MCBA holds the only statewide marching band championships in Michigan.  Previous championships were held at the Plymouth-Canton Educational Park Varsity Stadium in Canton, Michigan, Rynearson Stadium at Eastern Michigan University, and at the Pontiac Silverdome in Pontiac, Michigan.  They are currently held at Ford Field in Detroit, Michigan.  Prior to the 1992-93 school year, MCBA was known as the Michigan Competing Band Director's Association, or MCBDA. The University of Michigan (U-M, UM, UMich, or U of M), frequently referred to simply as Michigan, is a public research university in Ann Arbor, Michigan, United States.  Founded in 1817 in Detroit as the "Catholepistemiad", or University of Michigania, 20 years before the Michigan Territory became a state, the University of Michigan is the state's oldest university.  In 1821, the university was officially renamed the University of Michigan.  It moved to Ann Arbor in 1837 onto 40 acre of what is now known as Central Campus.  Since its establishment in Ann Arbor, the university campus has expanded to include more than 584 major buildings with a combined area of more than 34 e6sqft spread out over a Central Campus and North Campus, two regional campuses in Flint and Dearborn, and a Center in Detroit.  The University was a founding member of the Association of American Universities. The Michigan–Michigan State men's ice hockey rivalry is a college ice hockey rivalry between Michigan Wolverines men's ice hockey and Michigan State Spartans men's ice hockey that is part of the larger intrastate rivalry between the University of Michigan and Michigan State University.  The rivalry between the Spartans and Wolverines notably includes football and basketball rivalries, although it extends to almost all sports and many other forms of achievement.  The most notable examples of the hockey rivalry are two outdoor games, the October 6, 2001 Cold War in East Lansing and the December 11, 2010 Big Chill at the Big House in Ann Arbor, which set the world record for attendance at a hockey game.  This record however was broken four years later at the 2014 NHL Winter Classic on January 1, 2014.  As of 2013, both teams are members of the Big Ten Conference, although they have previously competed together in both the Central Collegiate Hockey Association (CCHA) and the Western Collegiate Hockey Association (WCHA). The University of Kansas, often referred to as KU or Kansas, is a public research university in the U.S. state of Kansas.  The main campus in Lawrence, one of the largest college towns in Kansas, is on Mount Oread, the highest elevation in Lawrence.  Two branch campuses are in the Kansas City metropolitan area: the Edwards Campus in Overland Park, and the university's medical school and hospital in Kansas City.  There are also educational and research sites in Parsons, Topeka, Garden City, Hays, and Leavenworth, and branches of the medical school in Wichita and Salina.  The university is one of the 62 members of the Association of American Universities. The Michigan Intercollegiate Athletic Association (MIAA) is an athletic conference that competes in the NCAA's Division III.  The nine teams in the conference are all located in the states of Michigan and Indiana.  The Michigan Intercollegiate Athletic Association was established on March 24, 1888, making it the oldest college athletic conference in the United States.  The current members of the MIAA include Adrian College, Albion College, Alma College, Calvin College, Hope College, Kalamazoo College, Olivet College, Saint Mary's College of Notre Dame, Indiana, and Trine University, formerly known as Tri-State University.  Olivet and Albion are the only charter members remaining in the conference.  Former members include such colleges as Michigan State University, previously Michigan Agricultural College, (1888–1907), Eastern Michigan University, previously Michigan State Normal College, (1892–1926), Hillsdale College (1888–1961), and Defiance College (1997–2000). Fred Warren Green (October 19, 1871November 30, 1936) was mayor of Ionia, Michigan before he served as the 31st Governor of Michigan from 1927 to 1931.  Active in athletics during his time as a student at Michigan State Normal School, now Eastern Michigan University, and at the University of Michigan, Green earned a varsity letter playing for the Michigan State Normal football team in 1895 and is credited as the team's head coach during the 1896 season in which they were declared champions of the Michigan Intercollegiate Athletic Association.  Green served as a delegate to the 1932 and 1936 Republican National Conventions. Eastern Michigan University (EMU) is a comprehensive, co-educational public university in Ypsilanti, Michigan.  Ypsilanti is 35 mi west of Detroit and eight miles (13 km) east of Ann Arbor.  The university was founded in 1849 as Michigan State Normal School.  Today, the university is governed by an eight-member Board of Regents whose members are appointed by the Governor of Michigan for eight-year terms.  The school belongs to the Mid-American Conference and is accredited by the Higher Learning Commission of the North Central Association of Colleges and Schools.  Since 1991 EMU athletics has gone by the name "Eagles".  Then in 1994, "Swoop" was officially adopted by the university as the school's mascot.  Currently, EMU comprises seven colleges and schools: College of Arts and Sciences, College of Business, College of Education, College of Health and Human Services, College of Technology, an Honors College, and a Graduate School.  The university's site is composed of an academic and athletic campus spread across 800 acre , with over 120 buildings.  EMU has a total enrollment of more than 23,000 students.
Answer: Association of American Universities