DATA 606 Project Presentation
Bikram Barua
12/9/2021
Abstract
For more details on authoring R presentations please visit https://support.rstudio.com/hc/en-us/articles/200486468.
- Bullet 1
- Bullet 2
- Bullet 3
Research Question
Myth or Fact: Do more Women Go into Labor During a Full Moon ?
Compare the birth counts on regular days with the full moon days.
Do you see any difference?
Can we draw any inference bsaed on the data?
Null Hypothesis: There is no effect of Full Moon with Women going into Labor and child being born.
Alternate Hypothesis: Women go into Labor due to Full Moon, there are more births on full moon nights.
Below is the reference to an article on this topic:
Ref: https://www.dukehealth.org/blog/myth-or-fact-more-women-go-labor-during-full-moon
US Birth Data
| year | month | date_of_month | day_of_week | births |
|---|---|---|---|---|
| 2000 | 1 | 1 | 6 | 9083 |
| 2000 | 1 | 2 | 7 | 8006 |
| 2000 | 1 | 3 | 1 | 11363 |
| 2000 | 1 | 4 | 2 | 13032 |
| 2000 | 1 | 5 | 3 | 12558 |
| 2000 | 1 | 6 | 4 | 12466 |
| 2000 | 1 | 7 | 5 | 12516 |
| 2000 | 1 | 8 | 6 | 8934 |
| 2000 | 1 | 9 | 7 | 7949 |
| 2000 | 1 | 10 | 1 | 11668 |
| 2000 | 1 | 11 | 2 | 12611 |
| 2000 | 1 | 12 | 3 | 12398 |
| 2000 | 1 | 13 | 4 | 11815 |
| 2000 | 1 | 14 | 5 | 12180 |
| 2000 | 1 | 15 | 6 | 8525 |
| 2000 | 1 | 16 | 7 | 7657 |
| 2000 | 1 | 17 | 1 | 10824 |
| 2000 | 1 | 18 | 2 | 12350 |
| 2000 | 1 | 19 | 3 | 12405 |
| 2000 | 1 | 20 | 4 | 12506 |
| 2000 | 1 | 21 | 5 | 11953 |
| 2000 | 1 | 22 | 6 | 8855 |
| 2000 | 1 | 23 | 7 | 7856 |
| 2000 | 1 | 24 | 1 | 11449 |
| 2000 | 1 | 25 | 2 | 12593 |
Full Moon Days
| Day | Date |
|---|---|
| Monday | 15 January 1900 |
| Wednesday | 14 February 1900 |
| Friday | 16 March 1900 |
| Sunday | 15 April 1900 |
| Monday | 14 May 1900 |
| Wednesday | 13 June 1900 |
| Thursday | 12 July 1900 |
| Friday | 10 August 1900 |
| Sunday | 9 September 1900 |
| Monday | 8 October 1900 |
| Tuesday | 6 November 1900 |
| Thursday | 6 December 1900 |
| Saturday | 5 January 1901 |
| Sunday | 3 February 1901 |
| Tuesday | 5 March 1901 |
| Thursday | 4 April 1901 |
| Friday | 3 May 1901 |
| Sunday | 2 June 1901 |
| Tuesday | 2 July 1901 |
| Wednesday | 31 July 1901 |
| Thursday | 29 August 1901 |
| Saturday | 28 September 1901 |
| Sunday | 27 October 1901 |
| Tuesday | 26 November 1901 |
| Wednesday | 25 December 1901 |
Format Full Moon Data
Split Date description into Date, Month and Year
| FM_Day | FM_Full_Date | FM_Date | FM_Month | FM_Year |
|---|---|---|---|---|
| Monday | 15 January 1900 | 15 | 1 | 1900 |
| Wednesday | 14 February 1900 | 14 | 2 | 1900 |
| Friday | 16 March 1900 | 16 | 3 | 1900 |
| Sunday | 15 April 1900 | 15 | 4 | 1900 |
| Monday | 14 May 1900 | 14 | 5 | 1900 |
| Wednesday | 13 June 1900 | 13 | 6 | 1900 |
| Thursday | 12 July 1900 | 12 | 7 | 1900 |
| Friday | 10 August 1900 | 10 | 8 | 1900 |
| Sunday | 9 September 1900 | 9 | 9 | 1900 |
| Monday | 8 October 1900 | 8 | 10 | 1900 |
| Tuesday | 6 November 1900 | 6 | 11 | 1900 |
| Thursday | 6 December 1900 | 6 | 12 | 1900 |
| Saturday | 5 January 1901 | 5 | 1 | 1901 |
| Sunday | 3 February 1901 | 3 | 2 | 1901 |
| Tuesday | 5 March 1901 | 5 | 3 | 1901 |
| Thursday | 4 April 1901 | 4 | 4 | 1901 |
| Friday | 3 May 1901 | 3 | 5 | 1901 |
| Sunday | 2 June 1901 | 2 | 6 | 1901 |
| Tuesday | 2 July 1901 | 2 | 7 | 1901 |
| Wednesday | 31 July 1901 | 31 | 7 | 1901 |
| Thursday | 29 August 1901 | 29 | 8 | 1901 |
| Saturday | 28 September 1901 | 28 | 9 | 1901 |
| Sunday | 27 October 1901 | 27 | 10 | 1901 |
| Tuesday | 26 November 1901 | 26 | 11 | 1901 |
| Wednesday | 25 December 1901 | 25 | 12 | 1901 |
Highest Birth Count By Year (Top 6)
Group By Year, Sum and Sort
| year | sum |
|---|---|
| 2007 | 4380784 |
| 2006 | 4335154 |
| 2008 | 4310737 |
| 2005 | 4211941 |
| 2009 | 4190991 |
| 2004 | 4186863 |
2007 birth count by month
| month | mean |
|---|---|
| 1 | 11629.71 |
| 2 | 11843.46 |
| 3 | 11802.84 |
| 4 | 11432.70 |
| 5 | 11854.55 |
| 6 | 12116.20 |
| 7 | 12414.87 |
| 8 | 12785.65 |
| 9 | 12425.80 |
| 10 | 12105.55 |
| 11 | 11977.83 |
| 12 | 11619.45 |
[1] "Total Births(mean) in 2007 is 144008.61"
[1] "Mean Birth per day in 2007 is 12000.72"
Full Moon Births in 2007
Year 2007 has highest number of births
| year | month | date_of_month | day_of_week | births | FM_Day | FM_Full_Date |
|---|---|---|---|---|---|---|
| 2007 | 1 | 3 | 3 | 13687 | Wednesday | 3 January 2007 |
| 2007 | 2 | 2 | 5 | 13305 | Friday | 2 February 2007 |
| 2007 | 3 | 4 | 7 | 7566 | Sunday | 4 March 2007 |
| 2007 | 4 | 2 | 1 | 12450 | Monday | 2 April 2007 |
| 2007 | 5 | 2 | 3 | 13325 | Wednesday | 2 May 2007 |
| 2007 | 6 | 1 | 5 | 13714 | Friday | 1 June 2007 |
| 2007 | 6 | 30 | 6 | 9016 | Saturday | 30 June 2007 |
| 2007 | 7 | 30 | 1 | 13439 | Monday | 30 July 2007 |
| 2007 | 8 | 28 | 2 | 14959 | Tuesday | 28 August 2007 |
| 2007 | 9 | 26 | 3 | 14417 | Wednesday | 26 September 2007 |
| 2007 | 10 | 26 | 5 | 13223 | Friday | 26 October 2007 |
| 2007 | 11 | 24 | 6 | 8380 | Saturday | 24 November 2007 |
| 2007 | 12 | 24 | 1 | 7727 | Monday | 24 December 2007 |
[1] "Mean Birth per full moon day in 2007 is 12934.00"
Test differences in means
One of the most common statistical tasks is to compare an outcome between two groups.
| month | mean | year | date_of_month | day_of_week | births | FM_Day | FM_Full_Date |
|---|---|---|---|---|---|---|---|
| 1 | 11629.71 | 2007 | 3 | 3 | 13687 | Wednesday | 3 January 2007 |
| 2 | 11843.46 | 2007 | 2 | 5 | 13305 | Friday | 2 February 2007 |
| 3 | 11802.84 | 2007 | 4 | 7 | 7566 | Sunday | 4 March 2007 |
| 4 | 11432.70 | 2007 | 2 | 1 | 12450 | Monday | 2 April 2007 |
| 5 | 11854.55 | 2007 | 2 | 3 | 13325 | Wednesday | 2 May 2007 |
| 6 | 12116.20 | 2007 | 1 | 5 | 13714 | Friday | 1 June 2007 |
| 6 | 12116.20 | 2007 | 30 | 6 | 9016 | Saturday | 30 June 2007 |
| 7 | 12414.87 | 2007 | 30 | 1 | 13439 | Monday | 30 July 2007 |
| 8 | 12785.65 | 2007 | 28 | 2 | 14959 | Tuesday | 28 August 2007 |
| 9 | 12425.80 | 2007 | 26 | 3 | 14417 | Wednesday | 26 September 2007 |
| 10 | 12105.55 | 2007 | 26 | 5 | 13223 | Friday | 26 October 2007 |
| 11 | 11977.83 | 2007 | 24 | 6 | 8380 | Saturday | 24 November 2007 |
| 12 | 11619.45 | 2007 | 24 | 1 | 7727 | Monday | 24 December 2007 |
T-Test Analysis
Welch Two Sample t-test
data: merge_by_month_data_2007$mean and merge_by_month_data_2007$births
t = 0.093272, df = 12.465, p-value = 0.9272
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-1570.097 1711.144
sample estimates:
mean of x mean of y
12009.60 11939.08
# p-value
birth.t.test$p.value
[1] 0.9271695
# confidence interval
birth.t.test$conf.int
[1] -1570.097 1711.144
attr(,"conf.level")
[1] 0.95
High p-values indicate that the evidence is not strong enough to suggest an effect exists. It's possible that the sample size is too small for the hypothesis test to detect it.
Birth data sample(2000 - 2013)
Birth count by month
| year | month | mean |
|---|---|---|
| 2000 | 1 | 10894.81 |
| 2000 | 2 | 11174.00 |
| 2000 | 3 | 11220.13 |
| 2000 | 4 | 10778.57 |
| 2000 | 5 | 11224.19 |
| 2000 | 6 | 11596.63 |
[1] "Total Births(mean) in 2000-2013 is 1911016.25"
[1] "Mean Birth per day in 2000-2013 is 11375.10"
Full Moon Births (2000-2013)
| year | month | date_of_month | day_of_week | births | FM_Day | FM_Full_Date |
|---|---|---|---|---|---|---|
| 2000 | 1 | 21 | 5 | 11953 | Friday | 21 January 2000 |
| 2000 | 2 | 19 | 6 | 8861 | Saturday | 19 February 2000 |
| 2000 | 3 | 20 | 1 | 11595 | Monday | 20 March 2000 |
| 2000 | 4 | 18 | 2 | 12783 | Tuesday | 18 April 2000 |
| 2000 | 5 | 18 | 4 | 12580 | Thursday | 18 May 2000 |
| 2000 | 6 | 17 | 6 | 9143 | Saturday | 17 June 2000 |
| 2000 | 7 | 16 | 7 | 8423 | Sunday | 16 July 2000 |
| 2000 | 8 | 15 | 2 | 13374 | Tuesday | 15 August 2000 |
| 2000 | 9 | 13 | 3 | 13299 | Wednesday | 13 September 2000 |
| 2000 | 10 | 13 | 5 | 11723 | Friday | 13 October 2000 |
| 2000 | 11 | 11 | 6 | 9318 | Saturday | 11 November 2000 |
| 2000 | 12 | 11 | 1 | 11811 | Monday | 11 December 2000 |
| 2001 | 1 | 9 | 2 | 12386 | Tuesday | 9 January 2001 |
| 2001 | 2 | 8 | 4 | 12390 | Thursday | 8 February 2001 |
| 2001 | 3 | 9 | 5 | 12461 | Friday | 9 March 2001 |
[1] "Mean Birth per full moon day in 2000-2013 is 11784.91"
Compare data
One of the most common statistical tasks is to compare an outcome between two groups.
| year | month | mean | date_of_month | day_of_week | births | FM_Day | FM_Full_Date |
|---|---|---|---|---|---|---|---|
| 2000 | 1 | 10894.81 | 21 | 5 | 11953 | Friday | 21 January 2000 |
| 2000 | 2 | 11174.00 | 19 | 6 | 8861 | Saturday | 19 February 2000 |
| 2000 | 3 | 11220.13 | 20 | 1 | 11595 | Monday | 20 March 2000 |
| 2000 | 4 | 10778.57 | 18 | 2 | 12783 | Tuesday | 18 April 2000 |
| 2000 | 5 | 11224.19 | 18 | 4 | 12580 | Thursday | 18 May 2000 |
| 2000 | 6 | 11596.63 | 17 | 6 | 9143 | Saturday | 17 June 2000 |
| 2000 | 7 | 11488.10 | 16 | 7 | 8423 | Sunday | 16 July 2000 |
| 2000 | 8 | 11867.52 | 15 | 2 | 13374 | Tuesday | 15 August 2000 |
| 2000 | 9 | 11866.03 | 13 | 3 | 13299 | Wednesday | 13 September 2000 |
| 2000 | 10 | 11366.71 | 13 | 5 | 11723 | Friday | 13 October 2000 |
| 2000 | 11 | 11416.47 | 11 | 6 | 9318 | Saturday | 11 November 2000 |
| 2000 | 12 | 11158.58 | 11 | 1 | 11811 | Monday | 11 December 2000 |
| 2001 | 1 | 11044.48 | 9 | 2 | 12386 | Tuesday | 9 January 2001 |
| 2001 | 2 | 11064.96 | 8 | 4 | 12390 | Thursday | 8 February 2001 |
| 2001 | 3 | 11140.16 | 9 | 5 | 12461 | Friday | 9 March 2001 |
| 2001 | 4 | 10996.13 | 8 | 7 | 7718 | Sunday | 8 April 2001 |
| 2001 | 5 | 11312.55 | 7 | 1 | 11635 | Monday | 7 May 2001 |
| 2001 | 6 | 11253.53 | 6 | 3 | 12804 | Wednesday | 6 June 2001 |
| 2001 | 7 | 11550.94 | 5 | 4 | 12531 | Thursday | 5 July 2001 |
| 2001 | 8 | 11915.58 | 4 | 6 | 9143 | Saturday | 4 August 2001 |
| 2001 | 9 | 11666.27 | 2 | 7 | 8239 | Sunday | 2 September 2001 |
| 2001 | 10 | 11350.06 | 2 | 2 | 13523 | Tuesday | 2 October 2001 |
| 2001 | 11 | 11042.53 | 1 | 4 | 12879 | Thursday | 1 November 2001 |
| 2001 | 11 | 11042.53 | 30 | 5 | 12019 | Friday | 30 November 2001 |
| 2001 | 12 | 10795.58 | 30 | 7 | 7840 | Sunday | 30 December 2001 |
| 2002 | 1 | 10886.19 | 28 | 1 | 11354 | Monday | 28 January 2002 |
| 2002 | 2 | 11068.21 | 27 | 3 | 12303 | Wednesday | 27 February 2002 |
| 2002 | 3 | 10882.23 | 28 | 4 | 12454 | Thursday | 28 March 2002 |
| 2002 | 4 | 11009.63 | 27 | 6 | 8243 | Saturday | 27 April 2002 |
| 2002 | 5 | 11124.23 | 26 | 7 | 7282 | Sunday | 26 May 2002 |
| 2002 | 6 | 11114.40 | 24 | 1 | 11972 | Monday | 24 June 2002 |
| 2002 | 7 | 11740.65 | 24 | 3 | 13231 | Wednesday | 24 July 2002 |
| 2002 | 8 | 11819.65 | 23 | 5 | 13133 | Friday | 23 August 2002 |
| 2002 | 9 | 11856.70 | 21 | 6 | 9613 | Saturday | 21 September 2002 |
| 2002 | 10 | 11378.65 | 21 | 1 | 11690 | Monday | 21 October 2002 |
| 2002 | 11 | 10845.97 | 20 | 3 | 12574 | Wednesday | 20 November 2002 |
| 2002 | 12 | 11026.55 | 19 | 4 | 13665 | Thursday | 19 December 2002 |
| 2003 | 1 | 10843.97 | 18 | 6 | 8431 | Saturday | 18 January 2003 |
| 2003 | 2 | 11171.04 | 17 | 1 | 10707 | Monday | 17 February 2003 |
| 2003 | 3 | 11050.77 | 18 | 2 | 12960 | Tuesday | 18 March 2003 |
| 2003 | 4 | 11189.70 | 16 | 3 | 12947 | Wednesday | 16 April 2003 |
| 2003 | 5 | 11365.00 | 16 | 5 | 12840 | Friday | 16 May 2003 |
| 2003 | 6 | 11429.47 | 14 | 6 | 8696 | Saturday | 14 June 2003 |
| 2003 | 7 | 11943.10 | 13 | 7 | 7946 | Sunday | 13 July 2003 |
| 2003 | 8 | 11820.03 | 12 | 2 | 13995 | Tuesday | 12 August 2003 |
| 2003 | 9 | 12210.70 | 10 | 3 | 14180 | Wednesday | 10 September 2003 |
| 2003 | 10 | 11633.35 | 10 | 5 | 13306 | Friday | 10 October 2003 |
| 2003 | 11 | 10879.60 | 9 | 7 | 7481 | Sunday | 9 November 2003 |
| 2003 | 12 | 11311.10 | 8 | 1 | 11708 | Monday | 8 December 2003 |
| 2004 | 1 | 10937.97 | 7 | 3 | 12716 | Wednesday | 7 January 2004 |
| 2004 | 2 | 11080.97 | 6 | 5 | 12371 | Friday | 6 February 2004 |
| 2004 | 3 | 11367.06 | 7 | 7 | 7304 | Sunday | 7 March 2004 |
| 2004 | 4 | 11302.63 | 5 | 1 | 12013 | Monday | 5 April 2004 |
| 2004 | 5 | 11072.52 | 4 | 2 | 12824 | Tuesday | 4 May 2004 |
| 2004 | 6 | 11695.87 | 3 | 4 | 13644 | Thursday | 3 June 2004 |
| 2004 | 7 | 11786.45 | 2 | 5 | 13271 | Friday | 2 July 2004 |
| 2004 | 7 | 11786.45 | 31 | 6 | 8858 | Saturday | 31 July 2004 |
| 2004 | 8 | 11672.10 | 30 | 1 | 12342 | Monday | 30 August 2004 |
| 2004 | 9 | 12096.50 | 28 | 2 | 13882 | Tuesday | 28 September 2004 |
| 2004 | 10 | 11453.16 | 28 | 4 | 13287 | Thursday | 28 October 2004 |
| 2004 | 11 | 11411.97 | 26 | 5 | 9370 | Friday | 26 November 2004 |
| 2004 | 12 | 11398.03 | 26 | 7 | 7087 | Sunday | 26 December 2004 |
| 2005 | 1 | 10886.39 | 25 | 2 | 13295 | Tuesday | 25 January 2005 |
| 2005 | 2 | 11246.07 | 24 | 4 | 12733 | Thursday | 24 February 2005 |
| 2005 | 3 | 11455.52 | 25 | 5 | 12111 | Friday | 25 March 2005 |
| 2005 | 4 | 11268.67 | 24 | 7 | 7267 | Sunday | 24 April 2005 |
| 2005 | 5 | 11346.32 | 23 | 1 | 12445 | Monday | 23 May 2005 |
| 2005 | 6 | 11885.87 | 22 | 3 | 13342 | Wednesday | 22 June 2005 |
| 2005 | 7 | 11716.00 | 21 | 4 | 13870 | Thursday | 21 July 2005 |
| 2005 | 8 | 12144.10 | 19 | 5 | 13365 | Friday | 19 August 2005 |
| 2005 | 9 | 12345.13 | 18 | 7 | 8262 | Sunday | 18 September 2005 |
| 2005 | 10 | 11327.77 | 17 | 1 | 12230 | Monday | 17 October 2005 |
| 2005 | 11 | 11406.07 | 16 | 3 | 13113 | Wednesday | 16 November 2005 |
| 2005 | 12 | 11442.58 | 15 | 4 | 13586 | Thursday | 15 December 2005 |
| 2006 | 1 | 11160.52 | 14 | 6 | 8628 | Saturday | 14 January 2006 |
| 2006 | 2 | 11586.96 | 13 | 1 | 11955 | Monday | 13 February 2006 |
| 2006 | 3 | 11694.19 | 15 | 3 | 13183 | Wednesday | 15 March 2006 |
| 2006 | 4 | 11152.90 | 13 | 4 | 12853 | Thursday | 13 April 2006 |
| 2006 | 5 | 11641.97 | 13 | 6 | 8260 | Saturday | 13 May 2006 |
| 2006 | 6 | 12120.50 | 11 | 7 | 7653 | Sunday | 11 June 2006 |
| 2006 | 7 | 12046.61 | 11 | 2 | 14413 | Tuesday | 11 July 2006 |
| 2006 | 8 | 12716.10 | 9 | 3 | 14277 | Wednesday | 9 August 2006 |
| 2006 | 9 | 12706.80 | 7 | 4 | 15454 | Thursday | 7 September 2006 |
| 2006 | 10 | 12054.35 | 7 | 6 | 9015 | Saturday | 7 October 2006 |
| 2006 | 11 | 11932.53 | 5 | 7 | 7957 | Sunday | 5 November 2006 |
| 2006 | 12 | 11697.13 | 5 | 2 | 13859 | Tuesday | 5 December 2006 |
| 2007 | 1 | 11629.71 | 3 | 3 | 13687 | Wednesday | 3 January 2007 |
| 2007 | 2 | 11843.46 | 2 | 5 | 13305 | Friday | 2 February 2007 |
| 2007 | 3 | 11802.84 | 4 | 7 | 7566 | Sunday | 4 March 2007 |
| 2007 | 4 | 11432.70 | 2 | 1 | 12450 | Monday | 2 April 2007 |
| 2007 | 5 | 11854.55 | 2 | 3 | 13325 | Wednesday | 2 May 2007 |
| 2007 | 6 | 12116.20 | 1 | 5 | 13714 | Friday | 1 June 2007 |
| 2007 | 6 | 12116.20 | 30 | 6 | 9016 | Saturday | 30 June 2007 |
| 2007 | 7 | 12414.87 | 30 | 1 | 13439 | Monday | 30 July 2007 |
| 2007 | 8 | 12785.65 | 28 | 2 | 14959 | Tuesday | 28 August 2007 |
| 2007 | 9 | 12425.80 | 26 | 3 | 14417 | Wednesday | 26 September 2007 |
| 2007 | 10 | 12105.55 | 26 | 5 | 13223 | Friday | 26 October 2007 |
| 2007 | 11 | 11977.83 | 24 | 6 | 8380 | Saturday | 24 November 2007 |
| 2007 | 12 | 11619.45 | 24 | 1 | 7727 | Monday | 24 December 2007 |
| 2008 | 1 | 11673.16 | 22 | 2 | 13297 | Tuesday | 22 January 2008 |
| 2008 | 2 | 11839.79 | 21 | 4 | 13507 | Thursday | 21 February 2008 |
| 2008 | 3 | 11467.23 | 21 | 5 | 12606 | Friday | 21 March 2008 |
| 2008 | 4 | 11711.47 | 20 | 7 | 7504 | Sunday | 20 April 2008 |
| 2008 | 5 | 11607.58 | 20 | 2 | 13912 | Tuesday | 20 May 2008 |
| 2008 | 6 | 11781.00 | 18 | 3 | 13638 | Wednesday | 18 June 2008 |
| 2008 | 7 | 12280.87 | 18 | 5 | 13542 | Friday | 18 July 2008 |
| 2008 | 8 | 12227.29 | 16 | 6 | 9180 | Saturday | 16 August 2008 |
| 2008 | 9 | 12454.17 | 15 | 1 | 13775 | Monday | 15 September 2008 |
| 2008 | 10 | 11723.23 | 14 | 2 | 13396 | Tuesday | 14 October 2008 |
| 2008 | 11 | 10963.50 | 13 | 4 | 12541 | Thursday | 13 November 2008 |
| 2008 | 12 | 11603.84 | 12 | 5 | 12903 | Friday | 12 December 2008 |
| 2009 | 1 | 11063.71 | 11 | 7 | 7122 | Sunday | 11 January 2009 |
| 2009 | 2 | 11468.64 | 9 | 1 | 12484 | Monday | 9 February 2009 |
| 2009 | 3 | 11373.26 | 11 | 3 | 12999 | Wednesday | 11 March 2009 |
| 2009 | 4 | 11394.07 | 9 | 4 | 13278 | Thursday | 9 April 2009 |
| 2009 | 5 | 11284.87 | 9 | 6 | 8180 | Saturday | 9 May 2009 |
| 2009 | 6 | 11720.67 | 7 | 7 | 7221 | Sunday | 7 June 2009 |
| 2009 | 7 | 12048.10 | 7 | 2 | 14208 | Tuesday | 7 July 2009 |
| 2009 | 8 | 11767.58 | 6 | 4 | 13377 | Thursday | 6 August 2009 |
| 2009 | 9 | 12256.47 | 4 | 5 | 13622 | Friday | 4 September 2009 |
| 2009 | 10 | 11389.00 | 4 | 7 | 7443 | Sunday | 4 October 2009 |
| 2009 | 11 | 10841.57 | 2 | 1 | 12212 | Monday | 2 November 2009 |
| 2009 | 12 | 11185.94 | 2 | 3 | 13267 | Wednesday | 2 December 2009 |
| 2009 | 12 | 11185.94 | 31 | 4 | 11667 | Thursday | 31 December 2009 |
| 2010 | 1 | 10584.52 | 30 | 6 | 8035 | Saturday | 30 January 2010 |
| 2010 | 2 | 10942.61 | 28 | 7 | 6895 | Sunday | 28 February 2010 |
| 2010 | 3 | 11078.97 | 30 | 2 | 12868 | Tuesday | 30 March 2010 |
| 2010 | 4 | 10971.23 | 28 | 3 | 12500 | Wednesday | 28 April 2010 |
| 2010 | 5 | 10730.68 | 28 | 5 | 12519 | Friday | 28 May 2010 |
| 2010 | 6 | 11298.87 | 26 | 6 | 8294 | Saturday | 26 June 2010 |
| 2010 | 7 | 11278.97 | 26 | 1 | 12262 | Monday | 26 July 2010 |
| 2010 | 8 | 11442.81 | 24 | 2 | 13226 | Tuesday | 24 August 2010 |
| 2010 | 9 | 11862.90 | 23 | 4 | 13717 | Thursday | 23 September 2010 |
| 2010 | 10 | 11024.74 | 23 | 6 | 8033 | Saturday | 23 October 2010 |
| 2010 | 11 | 11032.80 | 21 | 7 | 7285 | Sunday | 21 November 2010 |
| 2010 | 12 | 11104.74 | 21 | 2 | 14255 | Tuesday | 21 December 2010 |
| 2011 | 1 | 10478.87 | 19 | 3 | 12271 | Wednesday | 19 January 2011 |
| 2011 | 2 | 10783.11 | 18 | 5 | 12328 | Friday | 18 February 2011 |
| 2011 | 3 | 10788.35 | 19 | 6 | 7786 | Saturday | 19 March 2011 |
| 2011 | 4 | 10574.17 | 18 | 1 | 11681 | Monday | 18 April 2011 |
| 2011 | 5 | 10666.68 | 17 | 2 | 12819 | Tuesday | 17 May 2011 |
| 2011 | 6 | 11387.90 | 15 | 3 | 12681 | Wednesday | 15 June 2011 |
| 2011 | 7 | 11285.19 | 15 | 5 | 13097 | Friday | 15 July 2011 |
| 2011 | 8 | 11748.19 | 13 | 6 | 8448 | Saturday | 13 August 2011 |
| 2011 | 9 | 11688.73 | 12 | 1 | 12770 | Monday | 12 September 2011 |
| 2011 | 10 | 10746.19 | 12 | 3 | 12581 | Wednesday | 12 October 2011 |
| 2011 | 11 | 10870.23 | 10 | 4 | 11978 | Thursday | 10 November 2011 |
| 2011 | 12 | 10717.16 | 10 | 6 | 7658 | Saturday | 10 December 2011 |
| 2012 | 1 | 10343.90 | 9 | 1 | 11248 | Monday | 9 January 2012 |
| 2012 | 2 | 10629.72 | 7 | 2 | 12310 | Tuesday | 7 February 2012 |
| 2012 | 3 | 10584.61 | 8 | 4 | 11985 | Thursday | 8 March 2012 |
| 2012 | 4 | 10337.27 | 6 | 5 | 10955 | Friday | 6 April 2012 |
| 2012 | 5 | 10771.23 | 6 | 7 | 6868 | Sunday | 6 May 2012 |
| 2012 | 6 | 11026.17 | 4 | 1 | 12011 | Monday | 4 June 2012 |
| 2012 | 7 | 11337.81 | 3 | 2 | 13752 | Tuesday | 3 July 2012 |
| 2012 | 8 | 11790.35 | 2 | 4 | 13006 | Thursday | 2 August 2012 |
| 2012 | 8 | 11790.35 | 31 | 5 | 13287 | Friday | 31 August 2012 |
| 2012 | 9 | 11477.77 | 30 | 7 | 7607 | Sunday | 30 September 2012 |
| 2012 | 10 | 11289.45 | 29 | 1 | 11957 | Monday | 29 October 2012 |
| 2012 | 11 | 10976.87 | 28 | 3 | 12614 | Wednesday | 28 November 2012 |
| 2012 | 12 | 10594.39 | 28 | 5 | 13888 | Friday | 28 December 2012 |
| 2013 | 1 | 10559.74 | 27 | 7 | 6916 | Sunday | 27 January 2013 |
| 2013 | 2 | 10531.50 | 25 | 1 | 11358 | Monday | 25 February 2013 |
| 2013 | 3 | 10439.65 | 27 | 3 | 12204 | Wednesday | 27 March 2013 |
| 2013 | 4 | 10494.90 | 25 | 4 | 11620 | Thursday | 25 April 2013 |
| 2013 | 5 | 10737.68 | 25 | 6 | 8156 | Saturday | 25 May 2013 |
| 2013 | 6 | 10762.27 | 23 | 7 | 7435 | Sunday | 23 June 2013 |
| 2013 | 7 | 11370.81 | 22 | 1 | 12544 | Monday | 22 July 2013 |
| 2013 | 8 | 11512.23 | 21 | 3 | 12903 | Wednesday | 21 August 2013 |
| 2013 | 9 | 11389.20 | 19 | 4 | 13333 | Thursday | 19 September 2013 |
| 2013 | 10 | 11105.97 | 19 | 6 | 7995 | Saturday | 19 October 2013 |
| 2013 | 11 | 10738.57 | 17 | 7 | 7348 | Sunday | 17 November 2013 |
| 2013 | 12 | 10948.35 | 17 | 2 | 13252 | Tuesday | 17 December 2013 |
T-Test Analysis
Welch Two Sample t-test
data: merge_by_monthyear_data_bigset$mean and merge_by_monthyear_data_bigset$births
t = -0.34611, df = 187.91, p-value = 0.7297
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-423.1707 296.8438
sample estimates:
mean of x mean of y
11381.14 11444.31
T-Test Results
# p-value
birth.2t.test$p.value
[1] 0.7296505
# confidence interval
birth.2t.test$conf.int
[1] -423.1707 296.8438
attr(,"conf.level")
[1] 0.95
Based on the T-Test the p-value is 0.729, which is a large value indicating weak evidence against the null hypothesis, so fail to reject it.
Data Visualization
Histogram of the average births by month
qplot(group_by_month_bigset$mean, geom="histogram")
qplot(full_moon_merge_data_bigset$births, geom="histogram")
