As of February 14, 2018:
Team: 2017–18 Wichita State Shockers men's basketball team
Conference: American Athletic Conference
Overall record: 19–5
Conference record: 9–3
Head-to-head vs. Houston: 1–1
Record vs. common opponents with Houston: 5–2 (1–0 vs. East Carolina, 1–0 vs. South Florida, 0–1 vs. SMU, 0–1 vs. Temple, 2–0 vs. Tulsa, 1–0 vs. UCF)
No. of games vs. AP top 10: 0
No. of wins vs. AP top 10: 0
Ranking (AP): 19
No. of votes in latest AP poll: 495
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Team: 2017–18 Houston Cougars men's basketball team
Conference: American Athletic Conference
Overall record: 19–5
Conference record: 9–3
Head-to-head vs. Wichita State: 1–1
Record vs. common opponents with Wichita State: 7–0 (1–0 vs. East Carolina, 2–0 vs. South Florida, 1–0 vs. SMU, 1–0 vs. Temple, 1–0 vs. Tulsa, 1–0 vs. UCF)
No. of games vs. AP top 10: 3
No. of wins vs. AP top 10: 1
Ranking (AP): (unranked)
No. of votes in latest AP poll: 16



Update, as of the end of the regular season:
Team: 2017–18 Wichita State Shockers men's basketball team
Conference: American Athletic Conference
Overall record: 24–6
Conference record: 14–4
Head-to-head vs. Houston: 1–1
Record vs. common opponents with Houston: 13–3 (1–1 vs. Cincinnati, 2–0 vs. Connecticut, 1–0 vs. East Carolina, 1–0 vs. Memphis, 1–1 vs. SMU, 1–0 vs. South Florida, 1–1 vs. Temple, 1–0 vs. Tulane, 2–0 vs. Tulsa, 2–0 vs. UCF)
No. of games vs. AP top 10: 2
No. of wins vs. AP top 10: 1
Ranking (AP): #11
No. of votes in latest AP poll: 861
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Team: 2017–18 Houston Cougars men's basketball team
Conference: American Athletic Conference
Overall record: 24–6
Conference record: 14–4
Head-to-head vs. Wichita State: 1–1
Record vs. common opponents with Wichita State: 13–3 (1–1 vs. Cincinnati, 1–0 vs. Connecticut, 2–0 vs. East Carolina, 0–1 vs. Memphis, 2–0 vs. SMU, 2–0 vs. South Florida, 2–0 vs. Temple, 1–1 vs. Tulane, 1–0 vs. Tulsa, 1–0 vs. UCF)
No. of games vs. AP top 10: 4
No. of wins vs. AP top 10: 2
Ranking (AP): #21
No. of votes in latest AP poll: 247



Update, as of the end of the AAC tournament:
And surprise, surprise, surprise. UH and Wichita State, two teams from the same conference, finished the regular season dead even in season record, conference record, head-to-head record, and record vs. common opponents—though UH had faced twice as many top teams and beaten twice as many top teams. The "experts" ranked Wichita State ten places higher, their votes favoring WSU by a 3.5-to-1 margin. . .
Both teams entered the conference tournament, where UH proceeded to BEAT and ELIMINATE Wichita State. At that point UH had a BETTER season record, a BETTER conference record, and a BETTER head-to-head record—and they achieved these records while facing FIVE top-10 opponents, compared to Wichita State's two.
Aaaaand . . . three guesses which team the experts still ranked higher in the new polls (both AP and Coaches').


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Addendum: After UH won its first game in the 2018 NCAA Tournament and prepared to face its second-round opponent, Michigan, this article informed readers: "Michigan is trying to advance to the Sweet 16 for the second straight year. Houston, meanwhile, is coming off its first tournament win in the school's history." . . . WHAT?????? . . . That quote did not come from some sophomore writing for a small-town high-school newspaper. It was written by a professional journalist assigned to cover college basketball for CBS Sports!! How does someone that ignorant get a job as a national sportswriter at CBS Sports, when every halfway-casual basketball fan knows of the Houston Cougars' storied history in NCAA Tournaments?! And how does that kind of incompetence go uncorrected by editors and ever see the light of day?! . . . (For the record: previous to the 2018 tournament, UH had won 26 NCAA Tournament games. Not 0.)