Draft lottery (1969)
On December 1, 1969, the Selective Service System of the United States conducted two lotteries to determine the order of call to military service in the Vietnam War for men born from 1944 to 1950. "The draft" occurred during a period of conscription, controlled by the President, from just before World War II to 1973.
The Selective Service System commonly uses the label 1970 or says "Issued 1969 – Applied 1970". These lottery numbers were used during calendar year 1970 both to call for induction and to call for physical examination, a preliminary call covering more men.
The days of the year (including February 29) were represented by the numbers 1 through 366 written on slips of paper. The slips were placed in separate plastic capsules that were mixed in a shoebox and then dumped into a deep glass jar. Capsules were drawn from the jar one at a time.
The first number drawn was 258 (September 14), so all registrants with that birthday were assigned lottery number 1. The second number drawn corresponded to April 24, and so forth. All men of draft age (born 1944 to 1950) who shared a birthdate would be called to serve at once. The first 195 birthdates drawn were later called to serve in the order they were drawn; the last of these was September 24.
Also on December 1, 1969, a second lottery was held, with the 26 letters of the alphabet. Among men with the same birthdate, the order of induction was determined by the permutation ranks of the first letters of their last, first, and middle names. Anyone with initials "JJJ" would have been first within the shared birthdate; anyone with initials "VVV" would have been last.
People soon noticed that the lottery numbers were not distributed uniformly over the year. In particular, November and December births, or dates 306 to 366, were assigned mainly to lower draft numbers representing earlier calls to serve (see figure). This led to complaints that the lottery was not random as the legislation required. Analysis of the procedure suggested that mixing 366 capsules in the shoe box did not mix them sufficiently before dumping them into the jar. ("The capsules were put in a box month by month, January through December, and subsequent mixing efforts were insufficient to overcome this sequencing.") However, the non-uniform lottery was allowed to stand. Only five days in December--Dec. 2, 12, 15, 17 and 19--were higher than the last call number of 195.
Draft lotteries were conducted again in 1970 (for those born in 1951) and 1971 to 1975 (for 1952 to 1956 births). The draft numbers issued in 1972 were never used to call for induction into service, because the last call was December 7 and authority to induct expired June 30, 1973. The 1972 to 1975 lottery numbers were used to call some men born 1953 to 1956 for physical exams and the highest number called for a physical was 215 (for tables 1970 through 1976).
Origins and consequences 
In the late 1960s, President Nixon established a commission to recommend the best way to raise military manpower, to keep the draft or to institute a volunteer army. After much debate within the Nixon administration and in Congress, it was decided that an all-volunteer force was feasible, was affordable, and would enhance the nation’s security. According to the Department of Defense in 2003, an all-volunteer force is and would have been more cost-efficient.
The 1960s were a time of turmoil in the United States, beginning with the Civil Rights Movement which set the standards for practices by the anti-war movement. The 1969 draft lottery only encouraged resentment of the Vietnam war and the draft. It strengthened the anti-war movement[verification needed] all over America as people decried discrimination by the draft system "against low-education, low-income, underprivileged members of society".
The draft lottery had social and economic consequences because it generated resistance to military service and the resisters, draft evaders or "draft dodgers", were generally young, well educated, healthy men. Some chose the legal sanctions for refusing military service, such as imprisonment, either showing their disapproval by burning their draft cards or draft letters, or simply not presenting themselves for the military service test. Others left the country, commonly moving to Canada. The number of American citizens who moved to Canada during the Vietnam war because of the draft is estimated to be around 125,000; it is believed that about half returned to the United States after the Nixon era (when the war was also over).
In 1970, covering 1951 birthdates for use during 1971 (sometimes called the 1971 draft), scientists at the National Bureau of Standards prepared 78 random permutations of the numbers 1 to 365 using random numbers selected from published tables. From the 78 permutations, 25 were selected at random and transcribed to calendars using 1 = January 1, 2 = January 2, ... 365 = December 31. Those calendars were sealed in envelopes. 25 more permutations were selected and sealed in 25 more envelopes without transcription to calendars. The two sets of 25 envelopes were furnished to the Selective Service System.
On June 2, an official picked two envelopes, thus one calendar and one raw permutation. The 365 birthdates (for 1951) were written down, placed in capsules, and put in a drum in the order dictated by the selected calendar. Similarly, the numbers from 1 to 365 were written down and placed into capsules in the order dictated by the raw permutation.
On July 1, the drawing date, one drum was rotated for an hour and the other for a half-hour (its rotating mechanism failed). Pairs of capsules were then drawn, one from each drum, one with a 1951 birthdate and one with a number 1 to 365. The first date and number drawn were September 16 and 139, so all men born September 16, 1951, were assigned draft number 139. The 11th draws were the date July 9 and the number 1, so men born July 9 were assigned draft number 1 and drafted first.
- S.E. Fienberg (1971). "Randomization and Social Affairs: The 1970 Draft Lottery". Science 171:255–61. — called by Starr the "best and most comprehensive" article on the topic".
- D.E. Rosenbaum. "Statisticians Charge Draft Lottery Was Not Random,". New York Times. 4 January 1970, page 66.
- Selective Service System. "1970 Draft Lottery Results drawn December 1, 1969". Retrieved 26 May 2012. See also date sorted list.
- Norton Starr (1997). "Nonrandom Risk: The 1970 Draft Lottery". Journal of Statistics Education 5.2 (1997). — The online edition includes instructions for getting the data online and a lesson plan for statistics class using the 1970 and 1971 draft lottery data.
- SSS (2009). The Vietnam Lotteries. Selective Service System: History and Records. Last updated 2009-06-18. Confirmed 2011-05-26.
- Anthony C. Fisher (1969). "The Cost of the Draft and the Cost of Ending the Draft". The American Economic Review 59.3 (June 1969).
- J. R. Rosenblatt, J. J. Filliben (1971). "Randomization and the Draft Lottery". Science 171: 306–08.
- Landscaper.net (2009). The Military Draft and 1969 Draft Lottery for the Vietnam War. Last modified 2009-03-24. Confirmed 2011-05-26. — contemporary news stories, images of Official Orders (call to physical exam, call to report), lottery results, Draft Board classifications, Vietnam troop levels, induction statistics 1917–73.
- David Lane (2003). Introduction to Graphs: Clearing Up the Draft with Graphs. Connexions. 18 July 2003. Confirmed 2011-05-26. — list of draft ranks, additional analysis.
- Selective Service System (2009). The Vietnam Lotteries. SSS: History and Records. Last updated 2009-06-18. Confirmed 2011-05-26.
- Norton Starr (1997). "Nonrandom Risk: The 1970 Draft Lottery". Journal of Statistics Education 5.2 (1997). Confirmed 2011-05-26. — The online edition includes instructions for getting the data online and a lesson plan for statistics class using the 1970 and 1971 draft lottery data.