From 88e8f67526a7470d98d22ed935d8ffdde1726b60 Mon Sep 17 00:00:00 2001
From: nwickel <n.wickelmaier@iwm-tuebingen.de>
Date: Wed, 21 Jan 2026 10:43:48 +0100
Subject: [PATCH] Fix equation; rebuild

---
 01_intro/powersim-intro.pdf   | Bin 751422 -> 751422 bytes
 02_ttest/powersim-ttest.R     |   2 +-
 02_ttest/powersim-ttest.md    |   2 +-
 04_ancova/intro-ancova.pdf    | Bin 198693 -> 198693 bytes
 05_mixed1/intro-lmm.pdf       | Bin 252503 -> 252503 bytes
 06_mixed2/intro-datsimlmm.pdf | Bin 175851 -> 175851 bytes
 6 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/01_intro/powersim-intro.pdf b/01_intro/powersim-intro.pdf
index aa02ee452a6ba79ec946a739c0a0ed2170d815ad..ea078bea23afb34671a4a2f1fd1b79edfc67e94f 100644
GIT binary patch
delta 132
zcmdn@PIuos-G&y%7N!>F7M2#)7Pc1l7LFFq7OpMa+cVh>4GoM<3=OC6%jA}Uakf9q
z<X*t;Y+~u+=wxVMXku<^X<^}PW@2t&X5eUM?rQ01VBqRvZl_>FNXhmih1^xF05?-4
AOaK4?

delta 132
zcmdn@PIuos-G&y%7N!>F7M2#)7Pc1l7LFFq7OpMa+cVh>49yG-42-7l%jA}Uakf9q
z<X*t;?B;6ZXk_f@V&-CO>1OI|;Ot^-WNGYbY+&SU=4$BdY^PvDNXhmih1^xF08wrv
A;s5{u

diff --git a/02_ttest/powersim-ttest.R b/02_ttest/powersim-ttest.R
index 8344d51..a608531 100644
--- a/02_ttest/powersim-ttest.R
+++ b/02_ttest/powersim-ttest.R
@@ -31,7 +31,7 @@
 #' 
 #' Hypothesis
 #' 
-#' - H$_0\colon~ \mu_x - \mu_y = \delta = 0$
+#' - $H_0\colon~ \mu_x - \mu_y = \delta = 0$
 #'
 
 #' ## Power simulation
diff --git a/02_ttest/powersim-ttest.md b/02_ttest/powersim-ttest.md
index de3c29c..69f92a1 100644
--- a/02_ttest/powersim-ttest.md
+++ b/02_ttest/powersim-ttest.md
@@ -25,7 +25,7 @@ Assumptions
 
 Hypothesis
 
-- H$_0\colon~ \mu_x - \mu_y = \delta = 0$
+- $H_0\colon~ \mu_x - \mu_y = \delta = 0$
 
 ## Power simulation
 
diff --git a/04_ancova/intro-ancova.pdf b/04_ancova/intro-ancova.pdf
index 79d02d4e3a9d828d92850219742beeced6c99148..bb6b83e5a181b4deee23b9f6286dfe4b4d0e126f 100644
GIT binary patch
delta 113
zcmZ2FfoJIio`x327N#l89qfjN2F4~vMpOHlWnk>Bo0zY%I6Im+nHgAGxEh$4y11CS
h8k-n8Tbj9=xi~u+o0_}28Q3Y<5K^-J6f1Ky69B=H9O?i7

delta 113
zcmZ2FfoJIio`x327N#l89qa~%W(EcZmQ(wgWnk>Bo0zY%IJ=s-m^v96SsIv`TRI!K
hnVFcGI2o9_xtdtGS-QBGxY;S#5K^-J6f1Ky69B+t9OwW5

diff --git a/05_mixed1/intro-lmm.pdf b/05_mixed1/intro-lmm.pdf
index c5a791aa858027567b9121b21fad4a92c90364eb..a2c0cca96f116dfb0dea574b684fcae9718acca1 100644
GIT binary patch
delta 138
zcmcb<h5z~%{)QID7N#xCwpX+a4GoM<jE%Jo4Al(`)HS*Eee+XX5=&AQG+eBV42;YS
z42_^lwx?fVR$+2>b+fdvG_o`>w{&#2v@mpbax*Y-G%+-GHFPsJH!!iVQ?MbVWc#^m
H%$>{tEOjIg

delta 138
zcmcb<h5z~%{)QID7N#xCwpX+a49yG-3{ABS4Al(`)HS*Eee+XX5=&AQG+eBV42;YS
z42_^lwx?fVR$+2>GH`TuG;uO8bu}|~GH^99HZ*rJHMMlJv@kX?F*bFvQ?MbVWc#^m
H%$>{tC~hPH

diff --git a/06_mixed2/intro-datsimlmm.pdf b/06_mixed2/intro-datsimlmm.pdf
index 99aaa785aa2082c01737430feb85d9a9f8393391..ba0a78b75b35888ed46ecf7637ea1c5895674010 100644
GIT binary patch
delta 114
zcmaETm+SRiu7(!IElicm*$oX1j7?08rZ+5Sl7VryFJ8{Hi^bX4(8$8n(a6Qp$<ol+
j(8bW%%+T1)*x20I*u=ox#MRMG!G@5M?F-g0c{2e3q*NaM

delta 114
zcmaETm+SRiu7(!IElicm*$oWM3=E9Sr#CETl7VryFJ8{Hi^bW|$ko-r)Wylg$;8pz
j(a6ox#l_9c$l1Wv)zZn-)ZE!l!G@5M?F-g0c{2e3+@v5@