Last updated: 2022-11-08

Checks: 6 1

Knit directory: dgrp-starve/

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Rmd 41de4a8 nklimko 2022-11-08 difMinus success, reframe for all four genotype analysis
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Rmd d2abea6 nklimko 2022-11-05 11/5 Phase plan, data prep/analysis nested steps and pseudo for script
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Rmd d0a5cb1 nklimko 2022-11-05 Baseline analysis 11/5, horrendous formatting

Setup

The analysis begins with the data files prepared in Phase 1. MAKE THIS LINK TO DATA PREP. The goal of these steps was to visually characterize the data and form the basis for groupings of DGRP lines for further analysis.

Histograms of Starvation Resistance

First impressions on histograms are that both are unimodal with light skew to the right.

Comparative Boxplot

Plotting the distributions on the same axis gives a more accurate representation of distribution between sexes. The average female has a much greate starvation resistance of 60.665 compared to the average male 45.732. Outliers to the right of both boxplots indicate right skew.

Scatter Plot

The trendline is a Simple Linear Regression ‘reg=lm(y~x)’ with R and p values extracted from summary statistics. The slope indicates a positive correlation between male and female starvation resistance while the R value of 0.4693 indicates that the correlation is not close to linear.

QQ Plots

There is some systematic deviation from linearity on both tails in Females and on the upper tail in Males. Eyeballing is not an exhaustive measure of discerning normality. Quantitative methods are needed:

Shapiro-Wilk Tests for Normality

The Shapiro-Wilk method was chosen as it retains the best power

The test statistic formula is: \[ W = \frac{(\sum_{i=1}^{n}a_ix_{(i)})^{2}}{\sum_{i=1}^{n}(x_i-\overline x)^{2}} \]

More about the Shapiro-Wilk test statistic can be found here.

\(W\) values closer to 1 indicate normality, with \(W = 1\) being perfectly normal.


    Shapiro-Wilk normality test

data:  Female_Starvation
W = 0.97662, p-value = 0.001826

    Shapiro-Wilk normality test

data:  Male_Starvation
W = 0.98745, p-value = 0.07023

At an \(\alpha\) level of 0.05, we have sufficient evidence to reject that the Female population is normally distributed as p < \(\alpha\) (0.001826 < 0.05).

At an \(\alpha\) level of 0.05, we do not have sufficient evidence to reject that the Male population is normally distributed as p > \(\alpha\) (0.07023 > 0.05). Notably the correlation is not strong as the p-value is close to 0.05.

Group selection

The two groups of interest were extreme values on both ends.

Scatter Plot

Along with this, I wanted to look at the highest and lowest averages. Twenty lines from the top and bottom were partitioned for further analysis. With these four groups, I sought to look for difference in genotype and fold-change in gene expression hereLINK to PHASE ??? not sure yet


sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: CentOS Linux 7 (Core)

Matrix products: default
BLAS/LAPACK: /opt/ohpc/pub/Software/openblas_0.3.10/lib/libopenblas_haswellp-r0.3.10.dev.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
[1] dplyr_1.0.8

loaded via a namespace (and not attached):
 [1] Rcpp_1.0.8.3     highr_0.9        pillar_1.7.0     compiler_4.0.3  
 [5] bslib_0.3.1      later_1.3.0      jquerylib_0.1.4  git2r_0.30.1    
 [9] workflowr_1.7.0  tools_4.0.3      digest_0.6.29    jsonlite_1.8.0  
[13] evaluate_0.15    lifecycle_1.0.1  tibble_3.1.6     pkgconfig_2.0.3 
[17] rlang_1.0.4      DBI_1.1.2        cli_3.3.0        rstudioapi_0.13 
[21] yaml_2.3.5       xfun_0.30        fastmap_1.1.0    stringr_1.4.0   
[25] knitr_1.38       generics_0.1.2   fs_1.5.2         vctrs_0.4.1     
[29] sass_0.4.1       tidyselect_1.1.2 rprojroot_2.0.3  glue_1.6.2      
[33] R6_2.5.1         fansi_1.0.3      rmarkdown_2.16   purrr_0.3.4     
[37] magrittr_2.0.3   whisker_0.4      promises_1.2.0.1 ellipsis_0.3.2  
[41] htmltools_0.5.2  assertthat_0.2.1 httpuv_1.6.5     utf8_1.2.2      
[45] stringi_1.7.6    crayon_1.5.1