Bowhead and beluga whale acoustic detections in the western Beaufort Sea 2008-2018

Relative age effect? No 'flipping' way! Apparatus dependent inverse relative age effects in elite, women's artistic gymnastics

toggle="yes">N=806,<italic toggle="yes">M age=20.63,<italic toggle="yes">N countries=87
U16;<italic toggle="yes">n=95,<italic toggle="yes">M age=15.69,<italic toggle="yes">n countries=42
n=493,<italic toggle="yes">M age=20.66, n countries=76
toggle="yes">n=91,<italic toggle="yes">M age=25.14,<italic toggle="yes">n countries=30) Uneven Bars (<italic toggle="yes">n=93,<italic toggle="yes">M age=24.37,<italic toggle="yes">n countries=21
toggle="yes">n=117,<italic toggle="yes">M age=24.48,<italic toggle="yes">n countries=23
toggle="yes">n=105,<italic toggle="yes">M age=24.48,<italic toggle="yes">n countries=23
toggle="yes">p>.05;<italic toggle="yes">R^2 adj. ranged=.00 -.13

Bartlett-corrected tests for varying precision beta regressions with application to environmental biometrics

density is<disp formula id="pone.0253349.e001">removedGRAPHIC b (y ; μ, ϕ)=Γ (ϕ) Γ (μ ϕ) Γ (ϕ (1 - μ) y μ ϕ -1 (1 - y) ϕ (1 - μ) -1, 0<y<1,</disp formula>0<<italic toggle="yes">μ<1,<italic toggle="yes">ϕ>0
pone.0253349.e003">removedGRAPHIC g 1 (μ i)=eta i=∑ j=1
toggle="yes">i 1=<italic toggle="yes">h<italic toggle="yes">i 1=1∀<italic toggle="yes">i,<italic toggle="yes">x<italic toggle="yes">i 2
function is<disp formula id="pone.0253349.e004">removedGRAPHIC l (θ)=l (b, delta)=∑ i=1
toggle="yes">delta 1 +<italic toggle="yes">delta 2<italic toggle="yes">h<italic toggle="yes">i 2 +<italic toggle="yes">delta 3<italic toggle="yes">h<italic toggle="yes">i 3,<italic toggle="yes">i=1
toggle="yes">b 1=1.0,<italic toggle="yes">b 2=1.7,<italic toggle="yes">b 3=3.5,<italic toggle="yes">b 4=0,<italic toggle="yes">delta 1=3.7,<italic toggle="yes">delta 2=1.5
yes">b 3=<italic toggle="yes">b 4=0, thus<italic toggle="yes">l=2
toggle="yes">b 1=1.0,<italic toggle="yes">b 2=1.7,<italic toggle="yes">b 3=<italic toggle="yes">b 4=0,<italic toggle="yes">delta 1=3.7,<italic toggle="yes">delta 2=1.5
toggle="yes">b 1=1.0,<italic toggle="yes">b 2=1.7,<italic toggle="yes">b 3=2.5,<italic toggle="yes">b 4=-3.0,<italic toggle="yes">delta 1=3.7
yes">alpha=10%, its null rejection rate exceeds 30%
yes">alpha=10%, its null rejection is 10.4%
yes">alpha=10%, its null rejection rate is 10.7%
yes">alpha=10%, its null rejection rate is 9.5%
pone.0253349.e043">removedGRAPHIC log (μ i 1 - μ i)=b 1 + ∑ j=2
j log (ϕ i)=delta 1 + delta 2 x i 2 + delta 3 x i 3,</disp formula><italic toggle="yes">i=1..., 40
toggle="yes">b 1=1.0,<italic toggle="yes">b 2=0,<italic toggle="yes">b 3=3.0,<italic toggle="yes">delta 1=1.7,<italic toggle="yes">delta 2=0.7,<italic toggle="yes">delta 3=0
toggle="yes">b 1=1.5,<italic toggle="yes">b 2=0,<italic toggle="yes">b 3=-1.4,<italic toggle="yes">delta 1=1.5,<italic toggle="yes">delta 2=<italic toggle="yes">delta 3=0
toggle="yes">b 1=1.0,<italic toggle="yes">b 2=<italic toggle="yes">b 3=0,<italic toggle="yes">delta 1=1.7
toggle="yes">rs=IE(∂^2<italic toggle="yes">l (<italic toggle="yes">θ)/∂<italic toggle="yes">b<italic toggle="yes">r ∂<italic toggle="yes">b<italic toggle="yes">s),<italic toggle="yes">κ<italic toggle="yes">rst=IE(∂^3<italic toggle="yes">l (<italic toggle="yes">θ)/∂<italic toggle="yes">b<italic toggle="yes">r ∂<italic toggle="yes">b<italic toggle="yes">s ∂<italic toggle="yes">b<italic toggle="yes">t),<italic toggle="yes">κ<italic toggle="yes">rstu=IE(∂^4<italic toggle="yes">l (<italic toggle="yes">θ)/∂<italic toggle="yes">b<italic toggle="yes">r ∂<italic toggle="yes">b<italic toggle="yes">s ∂<italic toggle="yes">b<italic toggle="yes">t ∂<italic toggle="yes">b<italic toggle="yes">u), etc.,<italic toggle="yes">r,<italic toggle="yes">s,<italic toggle="yes">t,<italic toggle="yes">u=1
pone.0253349.e105">removedGRAPHIC κ r s=-∑ i=1 n { ϕ i 2 w i (∂ μ i ∂ eta i) 2