BIOL 4254 Life tables HW - CASEY NOYES

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Louisiana State University *

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4254

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Statistics

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Feb 20, 2024

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Uploaded by Jonah.Sigur

Part 3 Homework Page – CASEY NOYES 1. Fill in the table below with all 6 mean life spans. (30 pts) Century Cemetery Mean Life Span 1800 Magnolia Cemetery 34.412 1800 St. Joseph’s Cemetery 37.768 1800 Baton Rouge Memorial Cemetery 57.5 1900 Magnolia Cemetery 67.791 1900 St. Joseph’s Cemetery 63.417 1900 Baton Rouge Memorial Cemetery 73.036 2. Attach the graph and report the results of your analysis regarding possible differences in Mean Life Span between the centuries. Report your results like you did in the stats home- work and include relevant stats like p-values. 30 pts Figure 1. The life span of humans who died in the 19 th (1800) and 20 th (1900) centuries. Each bar represents the mean life span (± SE) calculated by life table statistics. There was a significant difference in the mean life span between individuals who died before

1900 compared to those who died after 1899 (t 4 = 3.2194, p = 0.0323, Figure 1). Average life span of individuals who died prior to 1900 was 43.227 ± 5.459 (mean ± SE) and the average life span of individuals who died after 1899 was 68.081 ± 5.459. 3. Attach the survivorship curve graph and interpret the figure. Which groups are different? Which are not? How did you make those distinctions? You won’t have stats to report for this. 30 pts The survivorship curve above indicates that there was a significant increase in the mean life spans of humans that died after the year 1900. Of note, prior to 1900, the humans in our study exhibited a type II survivorship curve, but humans after 1900 resembled a type I. Our age-spe- cific survivorship data also indicates that survivorship was increased after 1900 at every age from 5-100, however there was no significant change in the 0-4-year ago group and the 100–109- year age group. I used the difference between each century’s l x (>0.05) as an indicator of statisti- cal significance. This is also indicated graphically by the crossing/overlap of the survivorship curves at the age groups listed. 4. Are the results of the Mean Life Span data consistent with the results of the survivorship curves? Explain. (10 pts) Yes, because our mean life span is equivalent to the age at which half of our original group is still alive. Therefore, if we look at the survivorship curve and note where nx(1000) = 500 for each century, we will see that it is equal/close to our mean life span data (MLS 1800 = 43.227, MLS 1900 = 68.081).

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