Sample 1.2

sample_means <- read.csv(here("power_calculations", "outcome_matrices", "sample_1.2_means.csv")) %>%
  mutate(label = paste(time, info, action, sep = "_")) 

sample_sds <- read.csv(here("power_calculations", "outcome_matrices", "sample_1.2_sd.csv"))%>%
  mutate(label = str_replace(paste(time, info, action, sep = "_"), "-", "_"))
trial <- function(N, p_control, n_treatments){
  start <- Sys.time()
  
  # list of treatments
  treatments <- c("C2", paste("T", formatC(1:n_treatments, width = 2, flag = "0"), sep= ""))
  
  #list of outcomes
  outcomes <- sample_means$label
  
  # generate empty data frame
  df <- data.frame(treatment_assignment = rep(NA, N), 
                   SR_misinfo_reshared= rep(NA, N), 
                   SR_non_misinfo_reshared= rep(NA, N),
                   SR_misinfo_exposed= rep(NA, N), 
                   SR_non_misinfo_exposed= rep(NA, N), 
                   LR_misinfo_reshared= rep(NA, N),
                   LR_non_misinfo_reshared= rep(NA, N), 
                   LR_misinfo_exposed= rep(NA, N), 
                   LR_non_misinfo_exposed= rep(NA, N))
  
  p_treatment = (1 - p_control)/n_treatments
  
  treatment_assignment <- sample(
    x = treatments, 
    size = N, 
    replace = T, 
    prob = c(p_control, rep(p_treatment, n_treatments)))
  
  df[, "treatment_assignment"] <- treatment_assignment
  
  
  # generate outcomes
  for(treat in treatments){
    
    treat_n <- sum(treatment_assignment == treat) 
    
    for(out in outcomes){
      
        mean <- sample_means[sample_means$label == out, treat]
        
        sd <- sample_sds[sample_sds$label == out, "sd"]
            #log normal
        location <- log(mean^2 / sqrt(sd^2 + mean^2))
        shape <- sqrt(log(1+(sd^2 / mean^2)))
        nums <- rlnorm(treat_n, location, shape)
        
        # add to df
        df[df$treatment_assignment == treat, out] <- nums
      
    }
  
  }
  
  outcomes <- outcomes[!grepl("exposed", outcomes)]
  
  # generate new outcomes!
  df$LR_reshared_ratio = df$LR_misinfo_reshared/(df$LR_misinfo_reshared + df$LR_non_misinfo_reshared)
  
  df$SR_reshared_ratio = df$SR_misinfo_reshared/(df$SR_misinfo_reshared + df$SR_non_misinfo_reshared)
  
  
  df$LR_exposed_sum =df$LR_misinfo_exposed + df$LR_non_misinfo_exposed
  
  df$SR_exposed_sum= df$SR_misinfo_exposed + df$SR_non_misinfo_exposed
  
  
  df$LR_exposed_ratio = df$LR_misinfo_exposed/df$LR_exposed_sum
  
  df$SR_exposed_ratio = df$SR_misinfo_exposed/df$SR_exposed_sum
  

  #print(paste("DGP Done!", Sys.time() - start))
  
  # update outcomes list with new generated outcomes
  
  outcomes <- c(outcomes, c("LR_reshared_ratio", 
                            "SR_reshared_ratio", 
                            "LR_exposed_ratio", 
                            "SR_exposed_ratio", 
                            "LR_exposed_sum", 
                            "SR_exposed_sum"))
  
  # p-values matrix
    
    sub <- df[df$treatment_assignment %in% c("T01", "T02", "T03", "T05", "T06", "T07"), ]
    sub$new_T <- ""
    sub$new_T[sub$treatment_assignment %in% c("T01", "T02", "T03")] <- "T123"
    sub$new_T[sub$treatment_assignment %in% c("T05", "T06", "T07")] <- "T567"

    p_values <- lapply(setNames(outcomes, outcomes), FUN = function(out){   
      
        if(!grepl("non_misinfo|_sum", out)){
          p_matrix <- pairwise.t.test(x = df[[out]],
                                  g = df$treatment_assignment,
                                  p.adjust.method = "none",
                                  alternative = "less")$p.value[, "C2"]
          
          p_pooled <- t.test(sub[[out]]~new_T, sub, alternative = "greater")$p.value
          
          final_p <- c(p_matrix, T123_T567 = p_pooled)
          
          
        } else {
          p_matrix <- pairwise.t.test(x = df[[out]], 
                                  g = df$treatment_assignment, 
                                  p.adjust.method = "none", 
                                  alternative = "two.sided")$p.value[, "C2"]
          
          p_pooled <- t.test(sub[[out]]~new_T, sub, alternative = "two.sided")$p.value
          
          final_p <- c(p_matrix, T123_T567 = p_pooled)
        }
      
      }
    ) 
    
    p_values <- t(do.call("cbind", p_values))
    
  # corrections
  
  bonferroni <- t(apply(p_values, 1, function(x) p.adjust(x, method = "bonferroni")))
  
  holm <- t(apply(p_values, 1, function(x)p.adjust(x, method = "holm")))
  
  hochberg <- t(apply(p_values, 1, function(x)p.adjust(x, method = "hochberg")))
    #  print(paste("p-values done!", Sys.time() - start))
  # return four matrices of p-values
  return(list(none = p_values,
              bonferroni = bonferroni, 
              holm = holm, 
              hochberg = hochberg))
  
}

Replication Step

power <- function(N, p_constant, n_treatments, r, alpha){
  
  start <- Sys.time()
  results <- replicate(r,  trial(N, p_constant, n_treatments))
  end <- Sys.time()

  end - start
  
  # power calc
  for( i in c("none", "bonferroni", "holm", "hochberg")){
    tbl <- results[i, ]
    
    # makes True False matrices for if each individual values is above 0.05
    alpha_matrix <- lapply(tbl, function(x) x < alpha) 
    
    power <- apply(simplify2array(alpha_matrix), c(1,2), sum)/r
  
     cat(paste0("### ",i," \n"))

      kable(power,  format = "html", 
            caption = paste("Power Matrix: ", str_to_title(i), " Correction", sep = ""), 
            digits = 3)%>%
    kable_styling()%>%
        scroll_box(height = "100%")%>%
        print()
      
    cat("\n\n")

  }  
  
}

7 Treatments

N=18k, p = 0.125, treatments = 7

power(N = 18000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.96 0.89 0.89 0.92 0.98 0.98 0.95 0.92
SR_non_misinfo_reshared 0.93 0.81 0.48 0.96 0.97 0.97 0.95 0.93
LR_misinfo_reshared 0.48 0.41 0.44 0.49 0.58 0.48 0.50 0.20
LR_non_misinfo_reshared 0.47 0.29 0.22 0.60 0.80 0.72 0.70 0.44
LR_reshared_ratio 0.99 0.95 0.83 0.98 1.00 0.99 0.98 0.55
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.76 0.63 0.37 0.82 0.96 0.92 0.93 0.77
SR_exposed_ratio 0.99 0.98 0.80 1.00 1.00 0.99 1.00 0.99
LR_exposed_sum 0.46 0.33 0.17 0.63 0.76 0.75 0.67 0.51
SR_exposed_sum 0.96 0.83 0.49 0.99 1.00 1.00 1.00 0.96

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.84 0.82 0.80 0.86 0.93 0.91 0.89 0.76
SR_non_misinfo_reshared 0.77 0.57 0.28 0.92 0.96 0.97 0.94 0.84
LR_misinfo_reshared 0.21 0.15 0.16 0.28 0.32 0.30 0.25 0.04
LR_non_misinfo_reshared 0.26 0.13 0.05 0.31 0.58 0.43 0.43 0.20
LR_reshared_ratio 0.84 0.74 0.56 0.89 0.97 0.94 0.90 0.31
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.96
LR_exposed_ratio 0.47 0.25 0.10 0.62 0.82 0.77 0.70 0.49
SR_exposed_ratio 0.98 0.91 0.58 0.98 0.99 0.99 1.00 0.95
LR_exposed_sum 0.23 0.15 0.04 0.32 0.47 0.49 0.36 0.25
SR_exposed_sum 0.77 0.52 0.20 0.96 0.99 0.99 0.94 0.78

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.91 0.87 0.87 0.88 0.93 0.92 0.91 0.84
SR_non_misinfo_reshared 0.88 0.73 0.46 0.94 0.97 0.97 0.95 0.93
LR_misinfo_reshared 0.30 0.25 0.24 0.32 0.38 0.35 0.31 0.08
LR_non_misinfo_reshared 0.30 0.15 0.10 0.36 0.61 0.51 0.45 0.24
LR_reshared_ratio 0.95 0.88 0.79 0.95 0.98 0.96 0.93 0.49
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.57 0.45 0.30 0.65 0.85 0.79 0.76 0.61
SR_exposed_ratio 0.98 0.94 0.80 1.00 1.00 0.99 1.00 0.98
LR_exposed_sum 0.26 0.17 0.09 0.38 0.55 0.51 0.43 0.29
SR_exposed_sum 0.92 0.72 0.47 0.98 0.99 1.00 0.98 0.93

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.91 0.87 0.87 0.88 0.94 0.93 0.91 0.84
SR_non_misinfo_reshared 0.88 0.73 0.46 0.94 0.97 0.97 0.95 0.93
LR_misinfo_reshared 0.30 0.25 0.25 0.32 0.38 0.36 0.31 0.08
LR_non_misinfo_reshared 0.31 0.17 0.10 0.37 0.61 0.51 0.46 0.24
LR_reshared_ratio 0.96 0.92 0.80 0.96 0.98 0.96 0.93 0.53
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.57 0.45 0.32 0.66 0.86 0.79 0.76 0.63
SR_exposed_ratio 0.98 0.94 0.80 1.00 1.00 0.99 1.00 0.98
LR_exposed_sum 0.27 0.17 0.09 0.39 0.55 0.51 0.43 0.29
SR_exposed_sum 0.92 0.72 0.48 0.98 0.99 1.00 0.98 0.94

N=18k, p = 0.2, treatments = 7

power(N = 18000, 
      p_constant = .2, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.90 0.90 0.90 0.92 0.95 0.94 0.93 0.88
SR_non_misinfo_reshared 0.94 0.88 0.50 0.98 1.00 1.00 1.00 0.95
LR_misinfo_reshared 0.57 0.48 0.41 0.50 0.66 0.71 0.62 0.28
LR_non_misinfo_reshared 0.61 0.46 0.21 0.77 0.89 0.86 0.80 0.43
LR_reshared_ratio 0.98 0.95 0.82 1.00 0.99 1.00 1.00 0.64
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.79 0.65 0.36 0.90 0.95 0.94 0.94 0.72
SR_exposed_ratio 1.00 0.98 0.83 1.00 1.00 1.00 0.99 0.98
LR_exposed_sum 0.45 0.32 0.12 0.67 0.78 0.74 0.69 0.48
SR_exposed_sum 1.00 0.89 0.62 0.99 1.00 1.00 1.00 0.98

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.86 0.88 0.80 0.91 0.93 0.93 0.90 0.74
SR_non_misinfo_reshared 0.87 0.67 0.21 0.92 1.00 0.99 0.98 0.77
LR_misinfo_reshared 0.23 0.18 0.19 0.27 0.37 0.35 0.33 0.04
LR_non_misinfo_reshared 0.32 0.21 0.02 0.43 0.68 0.57 0.42 0.12
LR_reshared_ratio 0.90 0.80 0.61 0.96 0.94 0.98 0.99 0.32
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.92
LR_exposed_ratio 0.47 0.30 0.11 0.70 0.80 0.82 0.73 0.49
SR_exposed_ratio 0.97 0.91 0.63 0.98 1.00 1.00 0.98 0.95
LR_exposed_sum 0.18 0.14 0.03 0.39 0.45 0.48 0.43 0.18
SR_exposed_sum 0.87 0.66 0.33 0.96 1.00 1.00 0.98 0.79

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.88 0.89 0.88 0.91 0.93 0.93 0.92 0.84
SR_non_misinfo_reshared 0.91 0.80 0.47 0.95 1.00 0.99 0.98 0.94
LR_misinfo_reshared 0.28 0.26 0.23 0.31 0.37 0.41 0.35 0.10
LR_non_misinfo_reshared 0.35 0.31 0.05 0.49 0.74 0.60 0.53 0.20
LR_reshared_ratio 0.95 0.91 0.77 0.98 0.96 0.99 1.00 0.61
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.57 0.44 0.24 0.73 0.82 0.84 0.80 0.60
SR_exposed_ratio 1.00 0.97 0.83 1.00 1.00 1.00 0.98 0.98
LR_exposed_sum 0.23 0.17 0.05 0.44 0.53 0.51 0.46 0.23
SR_exposed_sum 0.99 0.83 0.59 0.97 1.00 1.00 1.00 0.97

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.88 0.90 0.88 0.92 0.93 0.93 0.92 0.84
SR_non_misinfo_reshared 0.91 0.81 0.49 0.95 1.00 0.99 0.98 0.95
LR_misinfo_reshared 0.29 0.27 0.24 0.31 0.38 0.42 0.36 0.10
LR_non_misinfo_reshared 0.35 0.31 0.07 0.51 0.75 0.62 0.54 0.21
LR_reshared_ratio 0.96 0.92 0.78 0.99 0.96 0.99 1.00 0.61
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.59 0.48 0.27 0.73 0.84 0.84 0.80 0.63
SR_exposed_ratio 1.00 0.97 0.83 1.00 1.00 1.00 0.98 0.98
LR_exposed_sum 0.24 0.18 0.06 0.45 0.53 0.51 0.48 0.23
SR_exposed_sum 0.99 0.84 0.60 0.97 1.00 1.00 1.00 0.97

N=18k, p = 0.3, treatments = 7

power(N = 18000, 
      p_constant = .3, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.93 0.94 0.87 0.97 0.99 0.97 0.96 0.87
SR_non_misinfo_reshared 1.00 0.91 0.56 1.00 1.00 1.00 1.00 0.90
LR_misinfo_reshared 0.45 0.39 0.43 0.47 0.62 0.59 0.59 0.27
LR_non_misinfo_reshared 0.51 0.38 0.17 0.74 0.80 0.83 0.69 0.35
LR_reshared_ratio 0.96 0.92 0.94 0.98 1.00 1.00 0.99 0.64
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.82 0.68 0.39 0.87 0.98 0.93 0.97 0.72
SR_exposed_ratio 0.99 0.96 0.79 1.00 1.00 1.00 1.00 0.98
LR_exposed_sum 0.53 0.36 0.21 0.58 0.84 0.80 0.63 0.36
SR_exposed_sum 0.98 0.93 0.67 1.00 1.00 1.00 1.00 0.92

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.80 0.79 0.75 0.86 0.90 0.89 0.85 0.72
SR_non_misinfo_reshared 0.96 0.77 0.26 0.99 1.00 1.00 1.00 0.73
LR_misinfo_reshared 0.19 0.19 0.13 0.16 0.34 0.27 0.29 0.04
LR_non_misinfo_reshared 0.26 0.21 0.04 0.37 0.57 0.55 0.45 0.08
LR_reshared_ratio 0.82 0.77 0.74 0.92 0.99 0.97 0.94 0.19
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.94
LR_exposed_ratio 0.55 0.30 0.10 0.65 0.87 0.81 0.76 0.32
SR_exposed_ratio 0.98 0.93 0.52 0.99 1.00 0.99 0.98 0.92
LR_exposed_sum 0.19 0.16 0.06 0.26 0.54 0.56 0.35 0.16
SR_exposed_sum 0.91 0.72 0.26 0.99 1.00 1.00 0.99 0.67

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.84 0.84 0.82 0.87 0.90 0.90 0.87 0.81
SR_non_misinfo_reshared 0.97 0.86 0.52 1.00 1.00 1.00 1.00 0.88
LR_misinfo_reshared 0.21 0.21 0.22 0.23 0.37 0.31 0.31 0.09
LR_non_misinfo_reshared 0.33 0.26 0.08 0.44 0.61 0.60 0.49 0.12
LR_reshared_ratio 0.91 0.85 0.86 0.97 1.00 0.97 0.98 0.56
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.64 0.48 0.22 0.73 0.90 0.84 0.85 0.50
SR_exposed_ratio 0.99 0.95 0.78 0.99 1.00 0.99 0.99 0.96
LR_exposed_sum 0.23 0.19 0.08 0.29 0.62 0.56 0.40 0.19
SR_exposed_sum 0.95 0.89 0.58 1.00 1.00 1.00 0.99 0.86

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.88 0.88 0.85 0.92 0.94 0.94 0.92 0.81
SR_non_misinfo_reshared 0.97 0.87 0.53 1.00 1.00 1.00 1.00 0.88
LR_misinfo_reshared 0.24 0.21 0.23 0.25 0.38 0.31 0.33 0.12
LR_non_misinfo_reshared 0.34 0.26 0.09 0.45 0.61 0.60 0.50 0.14
LR_reshared_ratio 0.94 0.87 0.88 0.97 1.00 0.97 0.99 0.61
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.67 0.53 0.25 0.74 0.90 0.84 0.86 0.52
SR_exposed_ratio 0.99 0.95 0.79 0.99 1.00 1.00 1.00 0.98
LR_exposed_sum 0.23 0.20 0.08 0.31 0.63 0.58 0.41 0.19
SR_exposed_sum 0.97 0.92 0.64 1.00 1.00 1.00 0.99 0.89

N=15k, p = 0.125, treatments = 7

power(N = 15000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.92 0.92 0.94 0.96 0.96 0.95 0.94
SR_non_misinfo_reshared 0.94 0.86 0.49 0.97 0.99 0.99 0.99 0.93
LR_misinfo_reshared 0.39 0.35 0.34 0.44 0.51 0.50 0.46 0.23
LR_non_misinfo_reshared 0.50 0.33 0.17 0.61 0.76 0.73 0.67 0.47
LR_reshared_ratio 0.88 0.84 0.80 0.97 0.99 0.98 0.95 0.55
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.67 0.52 0.33 0.79 0.92 0.93 0.88 0.81
SR_exposed_ratio 1.00 0.92 0.68 1.00 1.00 1.00 1.00 0.99
LR_exposed_sum 0.40 0.33 0.13 0.51 0.69 0.66 0.63 0.40
SR_exposed_sum 0.93 0.84 0.47 0.97 1.00 1.00 1.00 0.89

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.91 0.87 0.85 0.91 0.95 0.95 0.94 0.80
SR_non_misinfo_reshared 0.79 0.56 0.12 0.91 0.98 0.97 0.96 0.75
LR_misinfo_reshared 0.16 0.13 0.13 0.25 0.23 0.25 0.20 0.08
LR_non_misinfo_reshared 0.18 0.07 0.05 0.29 0.46 0.37 0.28 0.24
LR_reshared_ratio 0.74 0.63 0.53 0.83 0.93 0.86 0.87 0.28
SR_reshared_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.43 0.22 0.13 0.47 0.80 0.74 0.68 0.47
SR_exposed_ratio 0.96 0.81 0.40 1.00 1.00 1.00 1.00 0.96
LR_exposed_sum 0.16 0.09 0.00 0.23 0.39 0.34 0.28 0.12
SR_exposed_sum 0.76 0.58 0.08 0.89 1.00 0.99 0.96 0.72

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.94 0.91 0.90 0.94 0.95 0.95 0.94 0.90
SR_non_misinfo_reshared 0.87 0.75 0.44 0.96 0.99 0.98 0.97 0.90
LR_misinfo_reshared 0.23 0.14 0.17 0.28 0.24 0.29 0.25 0.10
LR_non_misinfo_reshared 0.24 0.11 0.09 0.35 0.53 0.43 0.32 0.30
LR_reshared_ratio 0.81 0.74 0.70 0.85 0.94 0.89 0.89 0.47
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.51 0.35 0.20 0.59 0.80 0.78 0.73 0.64
SR_exposed_ratio 1.00 0.92 0.66 1.00 1.00 1.00 1.00 0.98
LR_exposed_sum 0.20 0.11 0.01 0.27 0.41 0.39 0.28 0.18
SR_exposed_sum 0.85 0.75 0.38 0.93 1.00 0.99 0.98 0.84

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.94 0.91 0.90 0.94 0.95 0.95 0.94 0.90
SR_non_misinfo_reshared 0.90 0.78 0.48 0.97 0.99 0.98 0.98 0.92
LR_misinfo_reshared 0.24 0.16 0.17 0.29 0.25 0.29 0.26 0.11
LR_non_misinfo_reshared 0.28 0.13 0.10 0.36 0.53 0.44 0.33 0.32
LR_reshared_ratio 0.83 0.74 0.73 0.86 0.94 0.89 0.89 0.49
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.53 0.41 0.26 0.60 0.81 0.78 0.73 0.68
SR_exposed_ratio 1.00 0.92 0.67 1.00 1.00 1.00 1.00 0.99
LR_exposed_sum 0.20 0.11 0.01 0.28 0.42 0.40 0.30 0.18
SR_exposed_sum 0.87 0.77 0.42 0.93 1.00 0.99 0.98 0.86

N=15k, p = 0.2, treatments = 7

power(N = 15000, 
      p_constant = .2, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.91 0.91 0.87 0.93 0.97 0.96 0.96 0.93
SR_non_misinfo_reshared 0.95 0.83 0.41 1.00 1.00 0.99 1.00 0.88
LR_misinfo_reshared 0.45 0.40 0.36 0.49 0.61 0.58 0.54 0.16
LR_non_misinfo_reshared 0.39 0.34 0.13 0.56 0.72 0.70 0.69 0.35
LR_reshared_ratio 0.94 0.91 0.83 0.96 0.98 1.00 0.99 0.62
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.70 0.55 0.30 0.76 0.97 0.93 0.90 0.72
SR_exposed_ratio 1.00 0.99 0.76 0.99 1.00 1.00 0.99 0.97
LR_exposed_sum 0.48 0.34 0.16 0.56 0.79 0.77 0.64 0.42
SR_exposed_sum 0.93 0.80 0.52 1.00 1.00 1.00 0.99 0.96

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.88 0.85 0.77 0.90 0.92 0.92 0.92 0.81
SR_non_misinfo_reshared 0.77 0.58 0.15 0.94 1.00 0.99 0.97 0.63
LR_misinfo_reshared 0.22 0.16 0.16 0.19 0.28 0.31 0.23 0.02
LR_non_misinfo_reshared 0.21 0.10 0.02 0.29 0.39 0.32 0.40 0.19
LR_reshared_ratio 0.76 0.70 0.52 0.84 0.95 0.94 0.88 0.31
SR_reshared_ratio 1.00 0.99 1.00 1.00 1.00 1.00 1.00 0.95
LR_exposed_ratio 0.35 0.27 0.08 0.55 0.72 0.71 0.64 0.34
SR_exposed_ratio 0.95 0.90 0.46 0.98 1.00 0.99 0.99 0.90
LR_exposed_sum 0.17 0.08 0.02 0.31 0.48 0.48 0.38 0.18
SR_exposed_sum 0.82 0.57 0.28 0.94 1.00 0.99 0.97 0.75

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.90 0.88 0.85 0.90 0.92 0.92 0.92 0.88
SR_non_misinfo_reshared 0.91 0.75 0.37 0.97 1.00 0.99 0.98 0.79
LR_misinfo_reshared 0.28 0.22 0.21 0.26 0.32 0.35 0.30 0.05
LR_non_misinfo_reshared 0.22 0.16 0.04 0.33 0.44 0.34 0.43 0.20
LR_reshared_ratio 0.88 0.86 0.79 0.91 0.96 0.98 0.93 0.54
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.51 0.41 0.18 0.61 0.79 0.71 0.67 0.49
SR_exposed_ratio 0.97 0.94 0.74 0.99 1.00 1.00 0.99 0.95
LR_exposed_sum 0.22 0.13 0.07 0.34 0.51 0.51 0.40 0.24
SR_exposed_sum 0.89 0.71 0.44 0.98 1.00 1.00 0.98 0.92

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.91 0.90 0.87 0.92 0.94 0.94 0.94 0.89
SR_non_misinfo_reshared 0.92 0.77 0.38 0.98 1.00 0.99 0.98 0.81
LR_misinfo_reshared 0.28 0.22 0.21 0.26 0.32 0.35 0.30 0.05
LR_non_misinfo_reshared 0.23 0.16 0.04 0.33 0.45 0.35 0.43 0.20
LR_reshared_ratio 0.89 0.87 0.79 0.91 0.96 0.98 0.93 0.55
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.52 0.42 0.21 0.64 0.80 0.73 0.69 0.53
SR_exposed_ratio 0.98 0.96 0.75 0.99 1.00 1.00 0.99 0.97
LR_exposed_sum 0.23 0.13 0.08 0.34 0.51 0.51 0.40 0.25
SR_exposed_sum 0.90 0.71 0.45 0.98 1.00 1.00 0.98 0.94

N=15k, p = 0.3, treatments = 7

power(N = 15000, 
      p_constant = .3, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.94 0.89 0.94 0.98 0.98 0.98 0.95
SR_non_misinfo_reshared 0.96 0.88 0.52 1.00 1.00 1.00 0.99 0.84
LR_misinfo_reshared 0.42 0.39 0.38 0.46 0.58 0.56 0.52 0.15
LR_non_misinfo_reshared 0.45 0.34 0.18 0.56 0.78 0.65 0.64 0.32
LR_reshared_ratio 0.95 0.91 0.82 0.97 1.00 0.99 0.99 0.50
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.81 0.72 0.32 0.84 0.92 0.85 0.90 0.51
SR_exposed_ratio 0.99 0.98 0.77 1.00 1.00 1.00 1.00 0.96
LR_exposed_sum 0.51 0.32 0.19 0.59 0.74 0.79 0.66 0.33
SR_exposed_sum 0.96 0.92 0.49 1.00 1.00 1.00 1.00 0.84

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.81 0.82 0.76 0.86 0.91 0.90 0.88 0.84
SR_non_misinfo_reshared 0.86 0.74 0.20 0.95 0.99 0.97 0.97 0.55
LR_misinfo_reshared 0.12 0.13 0.08 0.14 0.26 0.20 0.18 0.04
LR_non_misinfo_reshared 0.18 0.12 0.07 0.29 0.50 0.35 0.36 0.09
LR_reshared_ratio 0.80 0.76 0.54 0.84 0.97 0.95 0.92 0.20
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.93
LR_exposed_ratio 0.48 0.30 0.12 0.60 0.79 0.70 0.70 0.27
SR_exposed_ratio 0.99 0.88 0.49 0.99 0.99 0.99 1.00 0.88
LR_exposed_sum 0.22 0.14 0.08 0.29 0.41 0.51 0.37 0.13
SR_exposed_sum 0.85 0.61 0.21 0.94 0.99 1.00 1.00 0.61

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.88 0.88 0.84 0.87 0.91 0.91 0.90 0.90
SR_non_misinfo_reshared 0.95 0.86 0.48 0.99 0.99 0.98 0.98 0.78
LR_misinfo_reshared 0.14 0.14 0.11 0.19 0.30 0.22 0.23 0.04
LR_non_misinfo_reshared 0.21 0.14 0.09 0.36 0.51 0.38 0.40 0.13
LR_reshared_ratio 0.92 0.85 0.73 0.89 0.98 0.97 0.97 0.44
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.61 0.42 0.17 0.66 0.83 0.75 0.77 0.38
SR_exposed_ratio 0.99 0.98 0.76 1.00 1.00 1.00 1.00 0.96
LR_exposed_sum 0.25 0.17 0.09 0.34 0.47 0.56 0.43 0.19
SR_exposed_sum 0.94 0.86 0.46 0.99 1.00 1.00 1.00 0.81

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.91 0.90 0.86 0.90 0.93 0.93 0.92 0.91
SR_non_misinfo_reshared 0.96 0.86 0.49 0.99 0.99 0.98 0.98 0.80
LR_misinfo_reshared 0.14 0.16 0.12 0.20 0.30 0.22 0.23 0.04
LR_non_misinfo_reshared 0.21 0.14 0.09 0.36 0.51 0.38 0.40 0.13
LR_reshared_ratio 0.92 0.85 0.77 0.89 0.98 0.97 0.98 0.47
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.65 0.47 0.20 0.67 0.84 0.76 0.77 0.39
SR_exposed_ratio 0.99 0.98 0.76 1.00 1.00 1.00 1.00 0.96
LR_exposed_sum 0.25 0.17 0.10 0.35 0.48 0.56 0.44 0.19
SR_exposed_sum 0.94 0.87 0.48 0.99 1.00 1.00 1.00 0.82

N=20k, p = 0.125, treatments = 7

power(N = 20000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.95 0.89 0.95 0.98 0.98 0.98 0.95
SR_non_misinfo_reshared 0.97 0.86 0.60 0.99 0.99 0.99 0.97 0.93
LR_misinfo_reshared 0.38 0.38 0.39 0.41 0.60 0.50 0.45 0.14
LR_non_misinfo_reshared 0.57 0.26 0.18 0.59 0.79 0.75 0.67 0.49
LR_reshared_ratio 0.97 0.96 0.90 0.98 0.99 0.99 0.98 0.55
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.75 0.59 0.35 0.88 0.92 0.98 0.94 0.78
SR_exposed_ratio 1.00 0.99 0.79 1.00 1.00 1.00 1.00 0.99
LR_exposed_sum 0.57 0.35 0.20 0.65 0.79 0.74 0.71 0.42
SR_exposed_sum 0.97 0.88 0.53 0.99 1.00 1.00 1.00 0.98

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.89 0.85 0.84 0.90 0.94 0.94 0.93 0.81
SR_non_misinfo_reshared 0.78 0.68 0.28 0.93 0.99 0.98 0.96 0.77
LR_misinfo_reshared 0.18 0.15 0.17 0.17 0.29 0.26 0.25 0.03
LR_non_misinfo_reshared 0.21 0.09 0.08 0.36 0.46 0.46 0.37 0.24
LR_reshared_ratio 0.88 0.84 0.61 0.90 0.96 0.97 0.93 0.28
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.41 0.26 0.08 0.69 0.86 0.72 0.69 0.46
SR_exposed_ratio 0.99 0.93 0.44 1.00 1.00 0.99 0.99 0.97
LR_exposed_sum 0.24 0.11 0.05 0.36 0.50 0.42 0.39 0.18
SR_exposed_sum 0.86 0.66 0.21 0.97 1.00 1.00 0.98 0.87

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.90 0.90 0.87 0.91 0.95 0.95 0.94 0.91
SR_non_misinfo_reshared 0.85 0.81 0.51 0.96 0.99 0.99 0.96 0.89
LR_misinfo_reshared 0.24 0.19 0.24 0.19 0.31 0.27 0.27 0.05
LR_non_misinfo_reshared 0.27 0.18 0.11 0.42 0.49 0.49 0.40 0.30
LR_reshared_ratio 0.96 0.94 0.84 0.94 0.98 0.99 0.96 0.54
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.57 0.39 0.21 0.77 0.88 0.78 0.77 0.60
SR_exposed_ratio 0.99 0.95 0.77 1.00 1.00 1.00 1.00 0.98
LR_exposed_sum 0.30 0.17 0.10 0.41 0.53 0.46 0.42 0.20
SR_exposed_sum 0.94 0.86 0.48 0.99 1.00 1.00 1.00 0.94

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.92 0.92 0.89 0.93 0.96 0.96 0.95 0.92
SR_non_misinfo_reshared 0.89 0.84 0.56 0.96 0.99 0.99 0.96 0.91
LR_misinfo_reshared 0.24 0.19 0.24 0.19 0.31 0.27 0.27 0.05
LR_non_misinfo_reshared 0.27 0.19 0.11 0.42 0.49 0.49 0.40 0.31
LR_reshared_ratio 0.96 0.94 0.84 0.94 0.98 0.99 0.96 0.54
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.59 0.44 0.23 0.79 0.88 0.80 0.79 0.62
SR_exposed_ratio 0.99 0.96 0.78 1.00 1.00 1.00 1.00 0.98
LR_exposed_sum 0.33 0.17 0.11 0.41 0.54 0.46 0.43 0.22
SR_exposed_sum 0.95 0.86 0.50 0.99 1.00 1.00 1.00 0.95

N=25k, p = 0.125, treatments = 7

power(N = 25000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.97 0.97 0.97 0.98 1.00 1.00 0.99 0.98
SR_non_misinfo_reshared 0.97 0.91 0.69 0.99 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.45 0.37 0.40 0.52 0.59 0.62 0.54 0.30
LR_non_misinfo_reshared 0.60 0.46 0.24 0.76 0.91 0.91 0.87 0.71
LR_reshared_ratio 1.00 0.95 0.91 0.99 1.00 1.00 1.00 0.75
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.79 0.75 0.48 0.96 0.98 0.95 0.95 0.89
SR_exposed_ratio 1.00 0.99 0.87 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.61 0.43 0.27 0.81 0.85 0.85 0.81 0.55
SR_exposed_sum 0.98 0.95 0.66 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.96 0.93 0.93 0.96 0.97 0.97 0.96 0.92
SR_non_misinfo_reshared 0.93 0.77 0.32 0.97 1.00 1.00 0.97 0.95
LR_misinfo_reshared 0.25 0.22 0.18 0.32 0.35 0.39 0.29 0.05
LR_non_misinfo_reshared 0.29 0.18 0.07 0.54 0.75 0.70 0.58 0.43
LR_reshared_ratio 0.90 0.88 0.79 0.96 0.99 1.00 0.99 0.47
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.61 0.36 0.19 0.82 0.91 0.82 0.84 0.61
SR_exposed_ratio 0.98 0.96 0.61 1.00 1.00 1.00 1.00 0.99
LR_exposed_sum 0.37 0.22 0.08 0.40 0.69 0.61 0.53 0.31
SR_exposed_sum 0.94 0.80 0.29 0.97 1.00 1.00 0.99 0.92

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.96 0.97 0.95 0.96 0.97 0.97 0.96 0.97
SR_non_misinfo_reshared 0.95 0.90 0.68 0.98 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.31 0.22 0.28 0.35 0.37 0.41 0.35 0.10
LR_non_misinfo_reshared 0.39 0.31 0.17 0.59 0.76 0.77 0.69 0.57
LR_reshared_ratio 0.99 0.94 0.87 0.98 0.99 1.00 0.99 0.70
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.71 0.67 0.42 0.89 0.92 0.88 0.86 0.76
SR_exposed_ratio 1.00 0.99 0.87 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.44 0.32 0.17 0.46 0.72 0.67 0.57 0.37
SR_exposed_sum 0.98 0.89 0.63 1.00 1.00 1.00 1.00 0.99

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.96 0.97 0.95 0.96 0.97 0.97 0.96 0.97
SR_non_misinfo_reshared 0.95 0.90 0.68 0.98 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.35 0.24 0.28 0.35 0.38 0.42 0.38 0.12
LR_non_misinfo_reshared 0.41 0.32 0.17 0.59 0.77 0.79 0.69 0.59
LR_reshared_ratio 0.99 0.94 0.89 0.98 0.99 1.00 0.99 0.72
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.71 0.70 0.45 0.90 0.92 0.88 0.87 0.81
SR_exposed_ratio 1.00 0.99 0.87 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.46 0.32 0.17 0.47 0.72 0.67 0.59 0.37
SR_exposed_sum 0.98 0.90 0.65 1.00 1.00 1.00 1.00 1.00

N=50k, p = 0.125, treatments = 7

power(N = 50000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.96 0.96 0.92 0.96 0.99 0.99 0.99 0.94
SR_non_misinfo_reshared 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.71 0.62 0.51 0.74 0.81 0.81 0.75 0.40
LR_non_misinfo_reshared 0.83 0.73 0.38 0.96 0.99 0.96 0.97 0.85
LR_reshared_ratio 1.00 1.00 0.98 1.00 1.00 1.00 1.00 0.95
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.94 0.93 0.55 1.00 1.00 1.00 1.00 0.99
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.86 0.70 0.32 0.95 1.00 1.00 0.98 0.91
SR_exposed_sum 1.00 1.00 0.91 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.94 0.93 0.90 0.95 0.97 0.97 0.96 0.89
SR_non_misinfo_reshared 1.00 0.99 0.76 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.45 0.40 0.28 0.55 0.55 0.59 0.52 0.10
LR_non_misinfo_reshared 0.59 0.36 0.18 0.78 0.97 0.89 0.88 0.64
LR_reshared_ratio 0.99 1.00 0.96 1.00 1.00 1.00 1.00 0.78
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.83 0.74 0.27 0.98 1.00 0.98 0.99 0.93
SR_exposed_ratio 1.00 1.00 0.91 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.62 0.33 0.11 0.85 0.97 0.89 0.92 0.70
SR_exposed_sum 1.00 1.00 0.80 1.00 1.00 1.00 1.00 1.00

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.94 0.92 0.95 0.97 0.97 0.96 0.93
SR_non_misinfo_reshared 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.52 0.41 0.37 0.58 0.59 0.65 0.57 0.20
LR_non_misinfo_reshared 0.70 0.59 0.33 0.85 0.98 0.92 0.91 0.78
LR_reshared_ratio 1.00 1.00 0.98 1.00 1.00 1.00 1.00 0.95
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.88 0.86 0.53 1.00 1.00 0.99 0.99 0.98
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.75 0.50 0.26 0.91 0.98 0.96 0.94 0.84
SR_exposed_sum 1.00 1.00 0.91 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.94 0.92 0.95 0.97 0.97 0.96 0.93
SR_non_misinfo_reshared 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.52 0.41 0.39 0.59 0.60 0.65 0.57 0.21
LR_non_misinfo_reshared 0.73 0.60 0.35 0.86 0.98 0.92 0.91 0.80
LR_reshared_ratio 1.00 1.00 0.98 1.00 1.00 1.00 1.00 0.95
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.91 0.88 0.55 1.00 1.00 1.00 0.99 0.99
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.76 0.50 0.27 0.91 0.98 0.96 0.94 0.84
SR_exposed_sum 1.00 1.00 0.91 1.00 1.00 1.00 1.00 1.00

N=75k, p = 0.125, treatments = 7

power(N = 75000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.96 0.95 0.96 0.98 0.99 0.99 0.97 0.97
SR_non_misinfo_reshared 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.71 0.65 0.59 0.77 0.83 0.84 0.77 0.41
LR_non_misinfo_reshared 0.96 0.87 0.53 0.98 1.00 1.00 0.99 0.94
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 1.00 0.97 0.76 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.98 0.85 0.60 1.00 1.00 1.00 1.00 0.99
SR_exposed_sum 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.93 0.93 0.95 0.97 0.97 0.96 0.93
SR_non_misinfo_reshared 1.00 0.99 0.90 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.47 0.42 0.34 0.57 0.66 0.64 0.57 0.18
LR_non_misinfo_reshared 0.84 0.68 0.26 0.94 0.99 0.97 0.97 0.79
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.96
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.98 0.88 0.48 0.99 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.88 0.60 0.25 0.98 1.00 1.00 0.97 0.83
SR_exposed_sum 1.00 1.00 0.91 1.00 1.00 1.00 1.00 1.00

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.95 0.95 0.97 0.97 0.97 0.97 0.96
SR_non_misinfo_reshared 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.51 0.49 0.49 0.60 0.68 0.66 0.63 0.26
LR_non_misinfo_reshared 0.91 0.84 0.48 0.95 0.99 0.98 0.97 0.91
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.99 0.96 0.75 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.96 0.79 0.58 1.00 1.00 1.00 1.00 0.98
SR_exposed_sum 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.95 0.95 0.96 0.97 0.97 0.97 0.97 0.97
SR_non_misinfo_reshared 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.53 0.50 0.51 0.61 0.69 0.67 0.64 0.27
LR_non_misinfo_reshared 0.92 0.84 0.49 0.96 0.99 0.98 0.97 0.92
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.99 0.97 0.76 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.96 0.79 0.58 1.00 1.00 1.00 1.00 0.98
SR_exposed_sum 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00

N=100k, p = 0.125, treatments = 7

power(N = 100000, 
      p_constant = .125, 
      n_treatments = 7, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 1.00 1.00 1.00 1.00 1.00 0.99 1.00 0.96
SR_non_misinfo_reshared 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.78 0.77 0.67 0.77 0.86 0.86 0.82 0.46
LR_non_misinfo_reshared 0.98 0.92 0.65 1.00 1.00 1.00 1.00 1.00
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 1.00 1.00 0.87 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 1.00 0.96 0.69 1.00 1.00 1.00 1.00 0.99
SR_exposed_sum 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.99 0.99 0.98 0.96 0.99 0.98 0.99 0.92
SR_non_misinfo_reshared 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.56 0.56 0.45 0.60 0.71 0.71 0.61 0.17
LR_non_misinfo_reshared 0.96 0.79 0.38 1.00 1.00 0.99 1.00 0.97
LR_reshared_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 1.00 0.96 0.60 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.94 0.78 0.37 1.00 1.00 1.00 1.00 0.96
SR_exposed_sum 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.99 0.99 0.99 0.98 0.99 0.98 0.99 0.95
SR_non_misinfo_reshared 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.64 0.62 0.56 0.66 0.73 0.74 0.67 0.33
LR_non_misinfo_reshared 0.98 0.90 0.63 1.00 1.00 1.00 1.00 1.00
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 1.00 0.98 0.87 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.99 0.95 0.68 1.00 1.00 1.00 1.00 0.99
SR_exposed_sum 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T123_T567
SR_misinfo_reshared 0.99 0.99 0.99 0.99 0.99 0.98 0.99 0.96
SR_non_misinfo_reshared 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.64 0.62 0.58 0.66 0.73 0.74 0.67 0.35
LR_non_misinfo_reshared 0.98 0.90 0.63 1.00 1.00 1.00 1.00 1.00
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 1.00 0.98 0.87 1.00 1.00 1.00 1.00 1.00
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.99 0.95 0.68 1.00 1.00 1.00 1.00 0.99
SR_exposed_sum 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

14 Treatments, p = 0.07

N=25k, p = 0.07, treatments = 14

power(N = 25000, 
      p_constant = 0.07, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.91 0.89 0.87 0.92 0.96 0.96 0.94 0.92 0.88 0.83 0.94 0.96 0.96 0.92 0.91
SR_non_misinfo_reshared 0.89 0.82 0.39 0.98 0.98 0.99 0.97 0.89 0.79 0.42 0.98 0.99 0.98 0.98 0.84
LR_misinfo_reshared 0.37 0.34 0.36 0.42 0.46 0.48 0.38 0.42 0.42 0.28 0.33 0.44 0.51 0.39 0.24
LR_non_misinfo_reshared 0.35 0.30 0.14 0.46 0.64 0.52 0.56 0.39 0.33 0.10 0.53 0.62 0.58 0.52 0.36
LR_reshared_ratio 0.94 0.86 0.76 0.96 1.00 0.96 0.96 0.95 0.90 0.78 0.98 0.96 0.98 0.97 0.61
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.67 0.54 0.30 0.83 0.88 0.85 0.79 0.66 0.60 0.30 0.79 0.89 0.89 0.84 0.60
SR_exposed_ratio 0.99 0.94 0.60 1.00 1.00 1.00 1.00 1.00 0.96 0.78 1.00 1.00 1.00 1.00 0.98
LR_exposed_sum 0.34 0.24 0.16 0.54 0.72 0.52 0.53 0.33 0.29 0.13 0.41 0.72 0.61 0.56 0.35
SR_exposed_sum 0.87 0.79 0.39 0.98 1.00 1.00 0.99 0.93 0.82 0.34 0.99 1.00 0.99 0.99 0.91

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.84 0.75 0.75 0.86 0.90 0.91 0.87 0.86 0.80 0.77 0.83 0.91 0.90 0.87 0.71
SR_non_misinfo_reshared 0.65 0.37 0.09 0.81 0.93 0.96 0.88 0.63 0.41 0.11 0.85 0.98 0.93 0.84 0.63
LR_misinfo_reshared 0.12 0.13 0.13 0.12 0.18 0.20 0.19 0.13 0.11 0.11 0.15 0.18 0.16 0.14 0.03
LR_non_misinfo_reshared 0.10 0.07 0.03 0.22 0.27 0.27 0.28 0.07 0.06 0.01 0.12 0.32 0.28 0.19 0.11
LR_reshared_ratio 0.71 0.61 0.55 0.80 0.94 0.89 0.83 0.79 0.68 0.51 0.78 0.90 0.86 0.82 0.15
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.84
LR_exposed_ratio 0.26 0.15 0.10 0.48 0.59 0.56 0.44 0.17 0.16 0.07 0.39 0.60 0.57 0.49 0.24
SR_exposed_ratio 0.89 0.76 0.28 0.96 0.99 0.98 0.99 0.89 0.74 0.35 0.98 1.00 0.98 0.98 0.89
LR_exposed_sum 0.10 0.03 0.04 0.19 0.26 0.23 0.21 0.07 0.04 0.02 0.12 0.26 0.20 0.18 0.04
SR_exposed_sum 0.56 0.39 0.13 0.80 0.97 0.94 0.86 0.61 0.39 0.11 0.87 0.98 0.91 0.86 0.62

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.88 0.84 0.83 0.89 0.91 0.91 0.88 0.87 0.87 0.79 0.88 0.91 0.90 0.89 0.85
SR_non_misinfo_reshared 0.75 0.60 0.26 0.88 0.94 0.97 0.90 0.76 0.61 0.27 0.91 0.98 0.93 0.88 0.74
LR_misinfo_reshared 0.13 0.17 0.16 0.17 0.18 0.22 0.20 0.14 0.15 0.14 0.17 0.20 0.19 0.17 0.10
LR_non_misinfo_reshared 0.13 0.08 0.04 0.25 0.29 0.30 0.30 0.10 0.10 0.01 0.16 0.34 0.31 0.22 0.14
LR_reshared_ratio 0.84 0.77 0.65 0.86 0.97 0.91 0.85 0.84 0.76 0.65 0.88 0.91 0.93 0.89 0.49
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.37 0.24 0.15 0.52 0.59 0.57 0.47 0.25 0.23 0.12 0.44 0.65 0.62 0.54 0.30
SR_exposed_ratio 0.98 0.90 0.57 0.99 1.00 0.99 1.00 0.96 0.89 0.65 0.99 1.00 1.00 0.99 0.98
LR_exposed_sum 0.10 0.05 0.06 0.21 0.29 0.23 0.23 0.09 0.05 0.02 0.13 0.27 0.23 0.20 0.06
SR_exposed_sum 0.76 0.60 0.30 0.89 0.98 0.96 0.96 0.75 0.58 0.22 0.93 0.99 0.95 0.96 0.77

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.88 0.84 0.83 0.89 0.91 0.91 0.88 0.87 0.87 0.79 0.88 0.91 0.90 0.89 0.85
SR_non_misinfo_reshared 0.76 0.60 0.28 0.88 0.94 0.97 0.90 0.76 0.61 0.30 0.91 0.98 0.93 0.88 0.77
LR_misinfo_reshared 0.13 0.18 0.16 0.17 0.18 0.22 0.20 0.14 0.15 0.14 0.17 0.20 0.19 0.18 0.10
LR_non_misinfo_reshared 0.13 0.08 0.04 0.25 0.29 0.30 0.30 0.11 0.10 0.01 0.16 0.34 0.32 0.22 0.14
LR_reshared_ratio 0.84 0.78 0.68 0.86 0.97 0.91 0.86 0.84 0.79 0.67 0.88 0.92 0.93 0.89 0.51
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.40 0.27 0.16 0.53 0.59 0.57 0.47 0.29 0.25 0.14 0.47 0.65 0.64 0.56 0.31
SR_exposed_ratio 0.98 0.90 0.58 0.99 1.00 0.99 1.00 0.97 0.89 0.67 0.99 1.00 1.00 0.99 0.98
LR_exposed_sum 0.10 0.05 0.06 0.21 0.29 0.23 0.23 0.09 0.05 0.02 0.13 0.27 0.23 0.20 0.06
SR_exposed_sum 0.77 0.62 0.34 0.90 0.98 0.96 0.96 0.77 0.61 0.27 0.93 0.99 0.96 0.97 0.79

N=30k, p = 0.07, treatments = 14

power(N = 30000, 
      p_constant = 0.07, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.97 0.93 0.96 0.99 0.99 0.99 0.98 0.98 0.94 0.94 0.97 0.99 0.99 0.99 0.97
SR_non_misinfo_reshared 0.97 0.85 0.51 0.98 1.00 1.00 0.98 0.93 0.83 0.58 1.00 1.00 1.00 0.99 0.94
LR_misinfo_reshared 0.40 0.30 0.35 0.43 0.50 0.50 0.45 0.31 0.33 0.37 0.40 0.46 0.46 0.41 0.28
LR_non_misinfo_reshared 0.41 0.29 0.18 0.61 0.69 0.69 0.62 0.46 0.33 0.19 0.51 0.71 0.69 0.57 0.50
LR_reshared_ratio 0.96 0.89 0.81 1.00 0.99 0.99 0.99 0.96 0.87 0.86 0.99 0.98 0.99 0.99 0.66
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.73 0.58 0.36 0.77 0.96 0.89 0.85 0.68 0.51 0.32 0.84 0.96 0.93 0.83 0.63
SR_exposed_ratio 1.00 0.98 0.75 1.00 1.00 1.00 1.00 1.00 0.96 0.75 0.99 1.00 1.00 1.00 1.00
LR_exposed_sum 0.43 0.29 0.13 0.58 0.79 0.64 0.61 0.42 0.27 0.18 0.50 0.76 0.73 0.67 0.53
SR_exposed_sum 0.97 0.85 0.52 0.97 1.00 1.00 1.00 0.94 0.81 0.52 0.98 1.00 1.00 0.98 0.89

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.88 0.85 0.87 0.94 0.98 0.98 0.96 0.89 0.88 0.80 0.93 0.98 0.97 0.94 0.82
SR_non_misinfo_reshared 0.80 0.50 0.18 0.89 0.98 0.98 0.96 0.73 0.52 0.17 0.89 0.96 0.98 0.95 0.71
LR_misinfo_reshared 0.13 0.09 0.06 0.12 0.20 0.21 0.11 0.06 0.09 0.08 0.13 0.20 0.15 0.12 0.02
LR_non_misinfo_reshared 0.12 0.06 0.01 0.25 0.36 0.29 0.19 0.16 0.09 0.03 0.23 0.35 0.29 0.26 0.11
LR_reshared_ratio 0.81 0.69 0.56 0.86 0.96 0.92 0.94 0.84 0.80 0.60 0.86 0.91 0.95 0.92 0.25
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.98
LR_exposed_ratio 0.36 0.16 0.11 0.40 0.69 0.61 0.56 0.32 0.21 0.09 0.46 0.67 0.51 0.61 0.26
SR_exposed_ratio 0.93 0.81 0.48 0.98 0.99 1.00 1.00 0.97 0.82 0.41 0.97 0.99 1.00 1.00 0.95
LR_exposed_sum 0.12 0.07 0.02 0.18 0.38 0.33 0.30 0.11 0.06 0.03 0.21 0.38 0.31 0.31 0.13
SR_exposed_sum 0.78 0.47 0.17 0.90 1.00 0.98 0.93 0.76 0.42 0.21 0.92 1.00 0.97 0.91 0.63

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.96 0.90 0.92 0.96 0.98 0.98 0.96 0.93 0.92 0.90 0.95 0.98 0.98 0.96 0.95
SR_non_misinfo_reshared 0.88 0.67 0.39 0.94 0.99 0.99 0.96 0.88 0.72 0.37 0.92 0.97 1.00 0.96 0.83
LR_misinfo_reshared 0.15 0.12 0.10 0.14 0.21 0.23 0.13 0.10 0.11 0.12 0.15 0.22 0.17 0.15 0.03
LR_non_misinfo_reshared 0.14 0.07 0.01 0.30 0.38 0.33 0.23 0.24 0.11 0.04 0.24 0.35 0.33 0.27 0.16
LR_reshared_ratio 0.90 0.79 0.69 0.95 0.98 0.94 0.97 0.91 0.84 0.73 0.97 0.94 0.97 0.96 0.58
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.43 0.29 0.17 0.46 0.73 0.63 0.63 0.41 0.31 0.19 0.48 0.73 0.55 0.67 0.37
SR_exposed_ratio 0.98 0.93 0.72 1.00 1.00 1.00 1.00 0.99 0.94 0.70 0.99 0.99 1.00 1.00 1.00
LR_exposed_sum 0.15 0.09 0.04 0.21 0.41 0.33 0.34 0.16 0.06 0.08 0.22 0.39 0.32 0.32 0.18
SR_exposed_sum 0.83 0.66 0.41 0.94 1.00 0.99 0.98 0.85 0.67 0.40 0.94 1.00 0.99 0.96 0.81

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.96 0.90 0.92 0.96 0.98 0.98 0.96 0.93 0.92 0.90 0.95 0.98 0.98 0.96 0.95
SR_non_misinfo_reshared 0.90 0.69 0.42 0.94 0.99 1.00 0.96 0.89 0.73 0.42 0.92 0.97 1.00 0.96 0.84
LR_misinfo_reshared 0.17 0.14 0.12 0.15 0.23 0.24 0.15 0.11 0.12 0.13 0.16 0.23 0.18 0.16 0.04
LR_non_misinfo_reshared 0.14 0.08 0.02 0.30 0.38 0.33 0.24 0.24 0.11 0.06 0.25 0.36 0.34 0.27 0.17
LR_reshared_ratio 0.92 0.82 0.72 0.96 0.98 0.95 0.98 0.91 0.84 0.75 0.97 0.96 0.97 0.96 0.61
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.44 0.31 0.20 0.46 0.73 0.63 0.63 0.42 0.33 0.20 0.49 0.74 0.56 0.69 0.39
SR_exposed_ratio 0.98 0.93 0.73 1.00 1.00 1.00 1.00 0.99 0.94 0.71 0.99 0.99 1.00 1.00 1.00
LR_exposed_sum 0.17 0.09 0.05 0.21 0.41 0.33 0.34 0.17 0.06 0.09 0.23 0.39 0.32 0.32 0.20
SR_exposed_sum 0.83 0.67 0.43 0.94 1.00 0.99 0.98 0.85 0.68 0.43 0.94 1.00 0.99 0.96 0.82

N=40k, p = 0.07, treatments = 14

power(N = 40000, 
      p_constant = 0.07, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.88 0.86 0.81 0.94 0.95 0.95 0.91 0.85 0.91 0.85 0.91 0.94 0.95 0.93 0.94
SR_non_misinfo_reshared 0.99 0.94 0.61 1.00 1.00 1.00 1.00 0.99 0.90 0.61 0.99 1.00 1.00 1.00 0.96
LR_misinfo_reshared 0.36 0.37 0.32 0.39 0.52 0.46 0.43 0.38 0.35 0.28 0.40 0.45 0.46 0.44 0.20
LR_non_misinfo_reshared 0.53 0.38 0.21 0.65 0.86 0.79 0.70 0.46 0.37 0.15 0.56 0.88 0.73 0.71 0.47
LR_reshared_ratio 0.98 0.94 0.89 0.98 1.00 1.00 0.99 0.99 0.93 0.84 1.00 0.99 1.00 1.00 0.72
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.82 0.71 0.38 0.93 0.99 0.99 0.97 0.83 0.74 0.35 0.94 0.99 0.94 0.97 0.87
SR_exposed_ratio 1.00 0.99 0.82 1.00 1.00 1.00 1.00 1.00 0.96 0.83 1.00 0.99 1.00 1.00 1.00
LR_exposed_sum 0.49 0.38 0.25 0.67 0.82 0.81 0.76 0.63 0.40 0.23 0.71 0.92 0.78 0.76 0.55
SR_exposed_sum 1.00 0.93 0.64 1.00 1.00 1.00 1.00 0.99 0.90 0.64 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.78 0.76 0.70 0.81 0.88 0.88 0.83 0.76 0.74 0.70 0.79 0.89 0.88 0.86 0.77
SR_non_misinfo_reshared 0.90 0.67 0.27 0.99 1.00 1.00 0.98 0.93 0.68 0.15 0.97 1.00 0.99 0.98 0.87
LR_misinfo_reshared 0.14 0.12 0.15 0.18 0.23 0.18 0.17 0.13 0.10 0.11 0.16 0.23 0.23 0.19 0.04
LR_non_misinfo_reshared 0.16 0.11 0.05 0.27 0.46 0.40 0.32 0.18 0.12 0.03 0.23 0.53 0.39 0.32 0.22
LR_reshared_ratio 0.84 0.79 0.68 0.90 0.99 0.97 0.98 0.86 0.76 0.61 0.94 0.95 0.93 0.97 0.31
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.49 0.29 0.08 0.70 0.88 0.83 0.74 0.52 0.38 0.10 0.63 0.87 0.81 0.77 0.49
SR_exposed_ratio 0.97 0.88 0.51 1.00 1.00 1.00 1.00 0.98 0.88 0.47 1.00 0.99 1.00 1.00 0.96
LR_exposed_sum 0.12 0.08 0.02 0.28 0.50 0.48 0.29 0.19 0.12 0.02 0.35 0.55 0.42 0.38 0.18
SR_exposed_sum 0.91 0.66 0.21 0.99 1.00 1.00 0.99 0.87 0.59 0.28 0.94 1.00 1.00 1.00 0.89

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.82 0.80 0.76 0.85 0.89 0.88 0.86 0.79 0.81 0.78 0.85 0.89 0.88 0.87 0.82
SR_non_misinfo_reshared 0.96 0.80 0.55 0.99 1.00 1.00 0.98 0.95 0.81 0.54 0.98 1.00 0.99 0.99 0.93
LR_misinfo_reshared 0.18 0.18 0.19 0.23 0.25 0.22 0.18 0.19 0.16 0.13 0.20 0.23 0.26 0.19 0.06
LR_non_misinfo_reshared 0.18 0.15 0.07 0.35 0.48 0.45 0.35 0.20 0.12 0.05 0.29 0.55 0.40 0.36 0.24
LR_reshared_ratio 0.93 0.85 0.80 0.96 1.00 0.97 0.99 0.96 0.90 0.77 0.97 0.98 0.97 1.00 0.70
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.57 0.43 0.21 0.78 0.91 0.86 0.80 0.60 0.55 0.20 0.73 0.91 0.84 0.85 0.59
SR_exposed_ratio 0.98 0.96 0.77 1.00 1.00 1.00 1.00 0.99 0.96 0.79 1.00 0.99 1.00 1.00 1.00
LR_exposed_sum 0.17 0.13 0.06 0.34 0.54 0.51 0.37 0.28 0.15 0.06 0.41 0.62 0.47 0.48 0.21
SR_exposed_sum 0.99 0.82 0.58 0.99 1.00 1.00 1.00 0.96 0.79 0.55 0.98 1.00 1.00 1.00 0.97

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.82 0.83 0.78 0.87 0.89 0.88 0.87 0.79 0.81 0.78 0.86 0.89 0.88 0.88 0.82
SR_non_misinfo_reshared 0.96 0.81 0.57 0.99 1.00 1.00 0.98 0.95 0.81 0.55 0.98 1.00 0.99 0.99 0.93
LR_misinfo_reshared 0.20 0.19 0.20 0.24 0.26 0.23 0.20 0.20 0.17 0.14 0.20 0.23 0.26 0.20 0.06
LR_non_misinfo_reshared 0.18 0.15 0.07 0.35 0.48 0.45 0.35 0.20 0.12 0.05 0.29 0.55 0.40 0.36 0.24
LR_reshared_ratio 0.93 0.86 0.83 0.96 1.00 0.97 0.99 0.96 0.92 0.80 0.97 0.98 0.98 1.00 0.71
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.57 0.46 0.26 0.79 0.91 0.86 0.81 0.61 0.56 0.21 0.73 0.92 0.84 0.85 0.62
SR_exposed_ratio 0.98 0.97 0.78 1.00 1.00 1.00 1.00 0.99 0.96 0.79 1.00 0.99 1.00 1.00 1.00
LR_exposed_sum 0.19 0.14 0.06 0.35 0.54 0.51 0.37 0.31 0.16 0.07 0.41 0.62 0.50 0.48 0.21
SR_exposed_sum 0.99 0.84 0.63 0.99 1.00 1.00 1.00 0.96 0.82 0.57 0.98 1.00 1.00 1.00 0.98

N=50k, p = 0.07, treatments = 14

power(N = 50000, 
      p_constant = 0.07, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.91 0.93 0.92 0.92 0.95 0.94 0.93 0.90 0.93 0.91 0.94 0.95 0.94 0.92 0.95
SR_non_misinfo_reshared 0.99 0.98 0.68 1.00 1.00 1.00 1.00 1.00 0.95 0.68 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.45 0.38 0.38 0.47 0.64 0.57 0.58 0.47 0.39 0.41 0.48 0.60 0.58 0.43 0.36
LR_non_misinfo_reshared 0.59 0.38 0.22 0.76 0.88 0.81 0.84 0.56 0.41 0.19 0.70 0.89 0.84 0.80 0.70
LR_reshared_ratio 0.98 1.00 0.93 1.00 1.00 1.00 1.00 0.99 0.96 0.91 1.00 1.00 1.00 1.00 0.83
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.90 0.78 0.46 0.92 1.00 0.98 1.00 0.81 0.72 0.40 0.91 0.99 0.97 0.98 0.91
SR_exposed_ratio 1.00 1.00 0.88 1.00 1.00 1.00 1.00 1.00 1.00 0.90 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.64 0.47 0.21 0.76 0.94 0.92 0.87 0.55 0.54 0.18 0.71 0.93 0.85 0.78 0.69
SR_exposed_sum 0.99 0.97 0.68 0.99 1.00 1.00 1.00 1.00 0.94 0.61 1.00 1.00 1.00 1.00 0.99

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.85 0.84 0.87 0.89 0.93 0.93 0.92 0.84 0.89 0.84 0.90 0.93 0.93 0.88 0.83
SR_non_misinfo_reshared 0.91 0.78 0.33 1.00 1.00 1.00 1.00 0.94 0.78 0.30 0.98 1.00 1.00 0.99 0.97
LR_misinfo_reshared 0.15 0.17 0.11 0.18 0.33 0.32 0.25 0.19 0.15 0.15 0.22 0.30 0.29 0.19 0.08
LR_non_misinfo_reshared 0.12 0.13 0.02 0.33 0.61 0.50 0.43 0.23 0.15 0.07 0.33 0.64 0.56 0.41 0.32
LR_reshared_ratio 0.89 0.88 0.76 0.99 0.98 0.99 0.99 0.94 0.88 0.75 0.96 1.00 0.99 0.98 0.50
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.60 0.43 0.17 0.69 0.92 0.81 0.87 0.56 0.42 0.13 0.73 0.90 0.86 0.81 0.53
SR_exposed_ratio 0.99 0.98 0.62 1.00 1.00 1.00 1.00 0.98 0.95 0.68 1.00 1.00 1.00 1.00 0.97
LR_exposed_sum 0.29 0.19 0.03 0.39 0.74 0.54 0.57 0.21 0.13 0.04 0.33 0.67 0.56 0.48 0.32
SR_exposed_sum 0.95 0.84 0.32 0.98 1.00 1.00 1.00 0.95 0.81 0.27 0.98 1.00 1.00 1.00 0.93

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.89 0.90 0.90 0.91 0.93 0.93 0.92 0.89 0.92 0.90 0.91 0.93 0.93 0.90 0.93
SR_non_misinfo_reshared 0.98 0.92 0.62 1.00 1.00 1.00 1.00 0.99 0.90 0.65 0.99 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.22 0.22 0.21 0.25 0.37 0.36 0.27 0.24 0.21 0.24 0.27 0.32 0.34 0.27 0.11
LR_non_misinfo_reshared 0.23 0.22 0.04 0.40 0.63 0.55 0.48 0.29 0.19 0.08 0.38 0.70 0.60 0.48 0.40
LR_reshared_ratio 0.98 0.96 0.88 1.00 1.00 1.00 0.99 0.98 0.94 0.85 0.99 1.00 1.00 0.99 0.82
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.68 0.53 0.35 0.77 0.98 0.86 0.91 0.70 0.53 0.26 0.82 0.94 0.91 0.87 0.71
SR_exposed_ratio 1.00 1.00 0.85 1.00 1.00 1.00 1.00 1.00 1.00 0.88 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.36 0.25 0.07 0.45 0.76 0.59 0.61 0.29 0.25 0.08 0.43 0.70 0.60 0.52 0.38
SR_exposed_sum 0.99 0.91 0.63 0.99 1.00 1.00 1.00 0.99 0.90 0.57 1.00 1.00 1.00 1.00 0.99

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.89 0.90 0.90 0.91 0.93 0.93 0.92 0.89 0.92 0.90 0.91 0.93 0.93 0.90 0.93
SR_non_misinfo_reshared 0.98 0.92 0.62 1.00 1.00 1.00 1.00 0.99 0.90 0.65 0.99 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.24 0.22 0.22 0.26 0.38 0.36 0.29 0.26 0.21 0.25 0.27 0.33 0.34 0.28 0.11
LR_non_misinfo_reshared 0.24 0.24 0.04 0.42 0.63 0.58 0.50 0.30 0.20 0.08 0.39 0.70 0.60 0.50 0.40
LR_reshared_ratio 0.98 0.98 0.89 1.00 1.00 1.00 0.99 0.98 0.95 0.87 0.99 1.00 1.00 0.99 0.82
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.70 0.54 0.36 0.77 0.98 0.87 0.91 0.71 0.53 0.29 0.82 0.94 0.91 0.87 0.71
SR_exposed_ratio 1.00 1.00 0.86 1.00 1.00 1.00 1.00 1.00 1.00 0.89 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.38 0.27 0.09 0.45 0.76 0.59 0.61 0.29 0.25 0.09 0.43 0.71 0.60 0.53 0.39
SR_exposed_sum 0.99 0.91 0.64 0.99 1.00 1.00 1.00 0.99 0.90 0.58 1.00 1.00 1.00 1.00 0.99

N=75k, p = 0.07, treatments = 14

power(N = 75000, 
      p_constant = 0.07, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.97 0.97 0.94 0.96 0.98 0.98 0.97 0.97 0.92 0.91 0.96 0.98 0.98 0.97 0.95
SR_non_misinfo_reshared 1.00 0.98 0.81 1.00 1.00 1.00 1.00 0.99 0.99 0.87 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.49 0.50 0.40 0.63 0.67 0.67 0.65 0.56 0.56 0.43 0.58 0.73 0.65 0.59 0.34
LR_non_misinfo_reshared 0.85 0.64 0.32 0.89 0.99 0.97 0.91 0.77 0.65 0.26 0.90 0.97 0.97 0.95 0.81
LR_reshared_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 0.91
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.96 0.81 0.47 0.99 1.00 1.00 1.00 0.99 0.89 0.59 0.99 1.00 1.00 0.99 0.96
SR_exposed_ratio 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.82 0.58 0.28 0.90 0.97 0.98 0.93 0.83 0.58 0.27 0.90 0.99 0.96 0.96 0.76
SR_exposed_sum 1.00 1.00 0.84 1.00 1.00 1.00 1.00 1.00 1.00 0.88 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.92 0.93 0.90 0.93 0.96 0.96 0.94 0.93 0.87 0.88 0.93 0.96 0.96 0.95 0.86
SR_non_misinfo_reshared 0.98 0.94 0.45 0.99 1.00 1.00 0.99 0.98 0.93 0.51 0.99 0.99 1.00 0.99 0.98
LR_misinfo_reshared 0.19 0.23 0.21 0.26 0.37 0.37 0.35 0.20 0.25 0.13 0.28 0.40 0.38 0.28 0.02
LR_non_misinfo_reshared 0.40 0.27 0.06 0.65 0.84 0.82 0.72 0.38 0.26 0.05 0.55 0.78 0.83 0.70 0.49
LR_reshared_ratio 1.00 0.98 0.92 1.00 1.00 1.00 1.00 1.00 1.00 0.92 1.00 1.00 1.00 1.00 0.60
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.75 0.48 0.16 0.89 0.99 0.95 0.99 0.71 0.61 0.17 0.92 0.99 0.98 0.93 0.79
SR_exposed_ratio 1.00 0.99 0.85 1.00 1.00 1.00 1.00 1.00 1.00 0.79 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.38 0.25 0.08 0.61 0.90 0.80 0.74 0.39 0.23 0.05 0.63 0.89 0.77 0.70 0.46
SR_exposed_sum 1.00 0.97 0.51 1.00 1.00 1.00 1.00 1.00 0.97 0.53 1.00 1.00 1.00 1.00 1.00

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.95 0.96 0.93 0.95 0.96 0.96 0.95 0.96 0.92 0.91 0.95 0.96 0.96 0.95 0.94
SR_non_misinfo_reshared 0.98 0.96 0.78 1.00 1.00 1.00 1.00 0.98 0.97 0.83 0.99 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.26 0.27 0.26 0.29 0.39 0.39 0.38 0.29 0.30 0.24 0.34 0.42 0.43 0.30 0.09
LR_non_misinfo_reshared 0.55 0.35 0.17 0.68 0.88 0.89 0.79 0.47 0.40 0.12 0.63 0.81 0.89 0.78 0.60
LR_reshared_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 0.91
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.84 0.66 0.32 0.96 1.00 0.97 0.99 0.86 0.77 0.43 0.97 0.99 1.00 0.98 0.93
SR_exposed_ratio 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00 1.00 0.95 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.52 0.39 0.16 0.69 0.90 0.83 0.79 0.55 0.39 0.15 0.73 0.92 0.80 0.75 0.60
SR_exposed_sum 1.00 0.99 0.82 1.00 1.00 1.00 1.00 1.00 1.00 0.85 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.95 0.96 0.93 0.95 0.96 0.96 0.95 0.96 0.92 0.91 0.95 0.96 0.96 0.95 0.94
SR_non_misinfo_reshared 0.98 0.96 0.79 1.00 1.00 1.00 1.00 0.98 0.97 0.84 0.99 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.26 0.27 0.26 0.30 0.39 0.40 0.38 0.29 0.30 0.25 0.35 0.42 0.43 0.30 0.10
LR_non_misinfo_reshared 0.56 0.38 0.21 0.70 0.88 0.89 0.79 0.50 0.45 0.15 0.66 0.82 0.89 0.78 0.62
LR_reshared_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 0.91
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.84 0.68 0.35 0.96 1.00 0.97 0.99 0.86 0.78 0.46 0.97 0.99 1.00 0.98 0.93
SR_exposed_ratio 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00 1.00 0.96 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.52 0.40 0.19 0.69 0.90 0.83 0.79 0.55 0.39 0.17 0.73 0.92 0.80 0.75 0.62
SR_exposed_sum 1.00 0.99 0.82 1.00 1.00 1.00 1.00 1.00 1.00 0.85 1.00 1.00 1.00 1.00 1.00

N=100k, p = 0.07, treatments = 14

power(N = 100000, 
      p_constant = 0.07, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.96 0.96 0.97 0.98 0.98 0.98 0.98 0.96 0.97 0.95 0.98 0.98 0.98 0.98 0.98
SR_non_misinfo_reshared 1.00 1.00 0.92 1.00 1.00 1.00 1.00 0.99 0.99 0.92 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.54 0.52 0.50 0.64 0.65 0.64 0.59 0.50 0.45 0.38 0.59 0.70 0.65 0.65 0.29
LR_non_misinfo_reshared 0.86 0.69 0.41 0.95 0.98 0.99 0.97 0.88 0.73 0.30 0.92 1.00 0.98 0.98 0.90
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.98
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.99 0.97 0.71 1.00 1.00 1.00 1.00 0.99 0.96 0.70 1.00 1.00 1.00 1.00 0.99
SR_exposed_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.88 0.62 0.38 0.95 1.00 0.99 1.00 0.91 0.75 0.36 0.99 1.00 0.99 0.97 0.88
SR_exposed_sum 1.00 1.00 0.94 1.00 1.00 1.00 1.00 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.93 0.94 0.92 0.97 0.97 0.97 0.97 0.93 0.95 0.93 0.96 0.97 0.97 0.96 0.93
SR_non_misinfo_reshared 0.99 0.98 0.75 1.00 1.00 1.00 1.00 0.99 0.98 0.68 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.29 0.24 0.16 0.28 0.40 0.36 0.34 0.19 0.21 0.17 0.31 0.38 0.42 0.36 0.06
LR_non_misinfo_reshared 0.58 0.36 0.12 0.78 0.96 0.88 0.83 0.61 0.31 0.07 0.73 0.95 0.87 0.89 0.58
LR_reshared_ratio 1.00 1.00 0.95 1.00 1.00 1.00 1.00 1.00 0.99 0.98 1.00 1.00 1.00 1.00 0.74
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.87 0.73 0.31 0.97 1.00 1.00 0.99 0.94 0.67 0.27 0.99 1.00 1.00 0.99 0.91
SR_exposed_ratio 1.00 1.00 0.88 1.00 1.00 1.00 1.00 1.00 1.00 0.94 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.59 0.28 0.13 0.77 0.97 0.92 0.90 0.58 0.27 0.08 0.78 0.99 0.93 0.86 0.62
SR_exposed_sum 1.00 0.99 0.68 1.00 1.00 1.00 1.00 1.00 0.99 0.74 1.00 1.00 1.00 1.00 1.00

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.95 0.96 0.95 0.97 0.97 0.97 0.97 0.96 0.96 0.94 0.97 0.97 0.97 0.96 0.97
SR_non_misinfo_reshared 0.99 0.98 0.90 1.00 1.00 1.00 1.00 0.99 0.99 0.91 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.35 0.26 0.22 0.32 0.44 0.40 0.38 0.30 0.29 0.25 0.34 0.43 0.43 0.37 0.13
LR_non_misinfo_reshared 0.68 0.52 0.26 0.82 0.97 0.94 0.86 0.69 0.47 0.20 0.78 0.95 0.90 0.89 0.78
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.98
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.96 0.92 0.60 0.98 1.00 1.00 0.99 0.98 0.85 0.60 0.99 1.00 1.00 0.99 0.99
SR_exposed_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.73 0.41 0.27 0.86 0.99 0.95 0.92 0.72 0.46 0.22 0.87 0.99 0.96 0.91 0.82
SR_exposed_sum 1.00 1.00 0.93 1.00 1.00 1.00 1.00 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.95 0.96 0.95 0.97 0.97 0.97 0.97 0.96 0.96 0.94 0.97 0.97 0.97 0.96 0.97
SR_non_misinfo_reshared 0.99 0.98 0.91 1.00 1.00 1.00 1.00 0.99 0.99 0.92 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.35 0.28 0.24 0.32 0.44 0.40 0.38 0.31 0.30 0.25 0.36 0.43 0.44 0.37 0.14
LR_non_misinfo_reshared 0.69 0.55 0.29 0.83 0.97 0.94 0.87 0.71 0.50 0.24 0.79 0.95 0.91 0.89 0.79
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.98
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.96 0.93 0.67 0.99 1.00 1.00 0.99 0.98 0.85 0.67 0.99 1.00 1.00 0.99 0.99
SR_exposed_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.73 0.42 0.31 0.86 0.99 0.95 0.92 0.73 0.48 0.25 0.87 0.99 0.96 0.91 0.82
SR_exposed_sum 1.00 1.00 0.94 1.00 1.00 1.00 1.00 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00

14 Treatments, p = 0.15

N=25k, p = 0.15, treatments = 14

power(N = 25000, 
      p_constant = 0.15, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.95 0.93 0.93 0.97 0.98 0.98 0.97 0.97 0.96 0.91 0.94 0.98 0.98 0.96 0.88
SR_non_misinfo_reshared 0.94 0.78 0.41 1.00 1.00 0.99 0.99 0.92 0.83 0.39 0.99 1.00 0.99 0.98 0.83
LR_misinfo_reshared 0.35 0.32 0.28 0.47 0.51 0.48 0.51 0.30 0.34 0.23 0.35 0.50 0.51 0.41 0.19
LR_non_misinfo_reshared 0.44 0.33 0.19 0.58 0.77 0.69 0.66 0.39 0.32 0.16 0.54 0.79 0.73 0.66 0.34
LR_reshared_ratio 0.96 0.90 0.84 0.98 1.00 0.98 1.00 0.93 0.89 0.80 0.99 0.99 1.00 0.98 0.48
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.75 0.57 0.38 0.88 0.94 0.97 0.90 0.75 0.56 0.32 0.90 0.97 0.93 0.92 0.72
SR_exposed_ratio 0.99 0.96 0.72 1.00 1.00 1.00 1.00 0.99 0.97 0.79 0.99 1.00 0.99 1.00 0.98
LR_exposed_sum 0.43 0.32 0.16 0.54 0.83 0.76 0.62 0.43 0.34 0.14 0.57 0.75 0.69 0.59 0.36
SR_exposed_sum 0.96 0.82 0.44 0.98 1.00 1.00 0.99 0.92 0.86 0.53 1.00 1.00 1.00 0.97 0.84

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.85 0.81 0.79 0.86 0.93 0.93 0.89 0.87 0.81 0.76 0.82 0.93 0.93 0.92 0.75
SR_non_misinfo_reshared 0.78 0.40 0.15 0.90 0.96 0.97 0.90 0.72 0.58 0.14 0.87 0.97 0.97 0.92 0.51
LR_misinfo_reshared 0.04 0.03 0.05 0.07 0.12 0.09 0.12 0.05 0.07 0.05 0.07 0.11 0.13 0.10 0.00
LR_non_misinfo_reshared 0.10 0.12 0.02 0.21 0.38 0.35 0.27 0.08 0.11 0.01 0.18 0.40 0.38 0.27 0.08
LR_reshared_ratio 0.74 0.66 0.54 0.89 0.94 0.90 0.91 0.76 0.67 0.50 0.86 0.93 0.96 0.82 0.10
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.84
LR_exposed_ratio 0.35 0.21 0.13 0.49 0.75 0.72 0.59 0.34 0.26 0.09 0.57 0.79 0.73 0.61 0.34
SR_exposed_ratio 0.99 0.74 0.42 0.96 1.00 1.00 0.99 0.95 0.85 0.41 0.98 1.00 0.99 1.00 0.87
LR_exposed_sum 0.16 0.08 0.03 0.18 0.41 0.34 0.30 0.14 0.12 0.01 0.18 0.40 0.29 0.23 0.08
SR_exposed_sum 0.75 0.54 0.15 0.89 1.00 0.95 0.94 0.74 0.51 0.16 0.90 0.99 1.00 0.93 0.50

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.90 0.87 0.89 0.91 0.93 0.93 0.92 0.93 0.89 0.86 0.88 0.93 0.93 0.92 0.87
SR_non_misinfo_reshared 0.88 0.61 0.29 0.92 0.97 0.98 0.93 0.82 0.66 0.29 0.90 0.97 0.97 0.93 0.74
LR_misinfo_reshared 0.09 0.06 0.07 0.08 0.15 0.11 0.14 0.06 0.10 0.06 0.08 0.12 0.15 0.13 0.00
LR_non_misinfo_reshared 0.12 0.14 0.03 0.25 0.41 0.36 0.29 0.10 0.13 0.03 0.23 0.43 0.41 0.35 0.09
LR_reshared_ratio 0.91 0.82 0.72 0.93 0.99 0.93 0.97 0.89 0.74 0.70 0.94 0.96 0.97 0.90 0.39
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.44 0.35 0.22 0.61 0.78 0.76 0.64 0.41 0.33 0.17 0.65 0.81 0.76 0.68 0.43
SR_exposed_ratio 0.99 0.94 0.68 1.00 1.00 1.00 1.00 0.96 0.93 0.71 0.99 1.00 0.99 1.00 0.95
LR_exposed_sum 0.17 0.13 0.06 0.22 0.44 0.35 0.34 0.14 0.14 0.04 0.23 0.43 0.38 0.25 0.10
SR_exposed_sum 0.90 0.69 0.37 0.93 1.00 0.98 0.96 0.86 0.66 0.42 0.97 0.99 1.00 0.95 0.75

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.91 0.88 0.90 0.92 0.94 0.94 0.93 0.94 0.91 0.87 0.90 0.94 0.94 0.93 0.87
SR_non_misinfo_reshared 0.88 0.62 0.30 0.92 0.97 0.98 0.93 0.82 0.67 0.30 0.90 0.97 0.97 0.94 0.74
LR_misinfo_reshared 0.10 0.07 0.08 0.09 0.16 0.11 0.14 0.07 0.11 0.06 0.08 0.12 0.16 0.13 0.00
LR_non_misinfo_reshared 0.12 0.14 0.03 0.25 0.41 0.37 0.30 0.10 0.13 0.03 0.23 0.43 0.41 0.35 0.09
LR_reshared_ratio 0.92 0.84 0.74 0.94 0.99 0.94 0.97 0.90 0.76 0.74 0.95 0.97 0.97 0.90 0.43
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97
LR_exposed_ratio 0.48 0.36 0.24 0.63 0.78 0.78 0.65 0.44 0.35 0.20 0.68 0.81 0.76 0.70 0.45
SR_exposed_ratio 0.99 0.95 0.70 1.00 1.00 1.00 1.00 0.96 0.93 0.73 0.99 1.00 0.99 1.00 0.96
LR_exposed_sum 0.17 0.13 0.06 0.22 0.44 0.35 0.34 0.14 0.14 0.04 0.23 0.43 0.38 0.25 0.10
SR_exposed_sum 0.93 0.72 0.42 0.94 1.00 0.98 0.96 0.88 0.71 0.46 0.97 0.99 1.00 0.96 0.77

N=50k, p = 0.15, treatments = 14

power(N = 50000, 
      p_constant = 0.15, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.93 0.96 0.90 0.96 0.99 0.99 0.98 0.96 0.95 0.94 0.97 0.99 0.99 0.96 0.94
SR_non_misinfo_reshared 1.00 0.98 0.80 1.00 1.00 1.00 1.00 1.00 0.99 0.77 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.43 0.41 0.39 0.53 0.64 0.63 0.59 0.48 0.46 0.42 0.53 0.59 0.59 0.59 0.24
LR_non_misinfo_reshared 0.69 0.59 0.29 0.81 0.95 0.93 0.91 0.77 0.54 0.29 0.84 0.93 0.94 0.93 0.56
LR_reshared_ratio 1.00 1.00 0.96 1.00 1.00 1.00 1.00 0.99 1.00 0.97 1.00 1.00 1.00 1.00 0.78
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.93 0.83 0.42 0.97 0.99 1.00 0.99 0.93 0.81 0.46 0.99 0.99 1.00 0.98 0.89
SR_exposed_ratio 1.00 1.00 0.90 1.00 1.00 1.00 1.00 1.00 0.97 0.97 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.71 0.52 0.29 0.81 0.95 0.92 0.90 0.66 0.57 0.21 0.85 0.94 0.95 0.92 0.53
SR_exposed_sum 1.00 1.00 0.78 1.00 1.00 1.00 1.00 1.00 0.99 0.83 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.88 0.92 0.86 0.94 0.96 0.96 0.94 0.92 0.88 0.84 0.94 0.96 0.96 0.94 0.80
SR_non_misinfo_reshared 0.98 0.88 0.42 0.99 1.00 1.00 1.00 0.98 0.85 0.36 1.00 1.00 1.00 1.00 0.86
LR_misinfo_reshared 0.12 0.10 0.07 0.17 0.25 0.26 0.16 0.10 0.09 0.07 0.14 0.24 0.23 0.13 0.01
LR_non_misinfo_reshared 0.39 0.24 0.07 0.57 0.79 0.69 0.59 0.44 0.22 0.07 0.60 0.77 0.74 0.65 0.20
LR_reshared_ratio 0.99 0.92 0.83 0.99 1.00 1.00 1.00 0.98 0.97 0.82 0.99 1.00 1.00 1.00 0.36
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.98
LR_exposed_ratio 0.71 0.48 0.17 0.85 0.99 0.96 0.93 0.72 0.42 0.12 0.86 0.99 0.95 0.92 0.58
SR_exposed_ratio 0.99 1.00 0.68 1.00 1.00 1.00 1.00 1.00 0.97 0.82 1.00 1.00 1.00 1.00 0.97
LR_exposed_sum 0.36 0.16 0.04 0.60 0.69 0.73 0.62 0.31 0.23 0.03 0.50 0.69 0.71 0.60 0.17
SR_exposed_sum 1.00 0.89 0.43 1.00 1.00 1.00 1.00 0.99 0.86 0.53 1.00 1.00 1.00 1.00 0.95

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.91 0.95 0.88 0.95 0.96 0.96 0.95 0.94 0.92 0.92 0.95 0.96 0.96 0.95 0.88
SR_non_misinfo_reshared 1.00 0.96 0.76 1.00 1.00 1.00 1.00 0.99 0.95 0.73 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.13 0.14 0.10 0.21 0.25 0.31 0.21 0.12 0.14 0.11 0.15 0.25 0.24 0.16 0.01
LR_non_misinfo_reshared 0.46 0.34 0.14 0.63 0.81 0.77 0.67 0.54 0.31 0.13 0.66 0.81 0.77 0.74 0.29
LR_reshared_ratio 0.99 0.98 0.93 1.00 1.00 1.00 1.00 0.98 0.99 0.94 1.00 1.00 1.00 1.00 0.76
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.81 0.69 0.33 0.93 0.99 0.97 0.93 0.82 0.61 0.31 0.93 0.99 0.99 0.98 0.77
SR_exposed_ratio 1.00 1.00 0.90 1.00 1.00 1.00 1.00 1.00 0.97 0.96 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.46 0.27 0.11 0.66 0.73 0.78 0.68 0.38 0.32 0.08 0.55 0.74 0.74 0.63 0.28
SR_exposed_sum 1.00 0.97 0.78 1.00 1.00 1.00 1.00 1.00 0.97 0.78 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.91 0.95 0.89 0.95 0.96 0.96 0.95 0.94 0.92 0.93 0.95 0.96 0.96 0.95 0.90
SR_non_misinfo_reshared 1.00 0.96 0.77 1.00 1.00 1.00 1.00 0.99 0.96 0.74 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.14 0.14 0.12 0.21 0.26 0.31 0.21 0.13 0.16 0.11 0.16 0.25 0.25 0.17 0.02
LR_non_misinfo_reshared 0.48 0.35 0.14 0.63 0.81 0.77 0.67 0.54 0.31 0.15 0.66 0.83 0.77 0.74 0.30
LR_reshared_ratio 1.00 1.00 0.94 1.00 1.00 1.00 1.00 0.99 1.00 0.95 1.00 1.00 1.00 1.00 0.78
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.82 0.71 0.36 0.93 0.99 0.97 0.95 0.83 0.65 0.32 0.93 0.99 0.99 0.98 0.79
SR_exposed_ratio 1.00 1.00 0.90 1.00 1.00 1.00 1.00 1.00 0.97 0.96 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.47 0.28 0.12 0.66 0.73 0.78 0.69 0.40 0.34 0.08 0.56 0.74 0.74 0.64 0.30
SR_exposed_sum 1.00 0.99 0.78 1.00 1.00 1.00 1.00 1.00 0.97 0.80 1.00 1.00 1.00 1.00 1.00

N=75k, p = 0.15, treatments = 14

power(N = 75000, 
      p_constant = 0.15,       
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.98 0.97 0.96 0.98 0.99 0.99 0.99 0.97 0.95 0.95 0.98 0.99 0.99 0.99 0.97
SR_non_misinfo_reshared 1.00 1.00 0.89 1.00 1.00 1.00 1.00 1.00 1.00 0.93 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.68 0.58 0.59 0.71 0.78 0.76 0.73 0.68 0.60 0.53 0.73 0.70 0.75 0.73 0.29
LR_non_misinfo_reshared 0.84 0.80 0.45 0.97 1.00 0.98 0.98 0.91 0.70 0.50 0.96 0.99 0.98 0.98 0.73
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.91
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.99 0.94 0.64 0.99 1.00 1.00 1.00 0.97 0.89 0.68 1.00 1.00 1.00 1.00 0.94
SR_exposed_ratio 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.89 0.70 0.42 0.98 0.99 0.99 0.96 0.85 0.70 0.39 0.95 0.99 0.99 0.98 0.71
SR_exposed_sum 1.00 1.00 0.90 1.00 1.00 1.00 1.00 1.00 1.00 0.89 1.00 1.00 1.00 1.00 0.99

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.96 0.96 0.91 0.96 0.97 0.97 0.95 0.94 0.92 0.92 0.96 0.97 0.97 0.96 0.93
SR_non_misinfo_reshared 1.00 1.00 0.65 1.00 1.00 1.00 1.00 1.00 1.00 0.68 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.34 0.18 0.22 0.37 0.43 0.47 0.34 0.21 0.24 0.20 0.37 0.46 0.41 0.39 0.09
LR_non_misinfo_reshared 0.55 0.36 0.15 0.79 0.92 0.91 0.81 0.66 0.37 0.14 0.78 0.97 0.93 0.88 0.42
LR_reshared_ratio 1.00 0.98 0.98 1.00 1.00 1.00 1.00 1.00 0.98 0.95 1.00 1.00 1.00 1.00 0.62
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99
LR_exposed_ratio 0.87 0.71 0.27 0.95 1.00 1.00 0.97 0.91 0.69 0.30 0.98 0.98 1.00 0.99 0.74
SR_exposed_ratio 0.99 1.00 0.89 1.00 1.00 1.00 1.00 1.00 1.00 0.92 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.55 0.34 0.15 0.76 0.97 0.89 0.81 0.58 0.37 0.12 0.77 0.96 0.90 0.85 0.34
SR_exposed_sum 1.00 0.98 0.59 1.00 1.00 1.00 1.00 1.00 0.99 0.72 1.00 1.00 1.00 1.00 0.97

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.96 0.96 0.93 0.96 0.97 0.97 0.97 0.95 0.93 0.94 0.96 0.97 0.97 0.96 0.96
SR_non_misinfo_reshared 1.00 1.00 0.89 1.00 1.00 1.00 1.00 1.00 1.00 0.92 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.43 0.26 0.28 0.45 0.51 0.50 0.47 0.33 0.31 0.23 0.45 0.48 0.47 0.45 0.12
LR_non_misinfo_reshared 0.72 0.53 0.26 0.86 0.96 0.95 0.86 0.77 0.53 0.31 0.85 0.97 0.95 0.92 0.54
LR_reshared_ratio 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.90
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.93 0.87 0.55 0.97 1.00 1.00 0.97 0.96 0.81 0.58 1.00 1.00 1.00 0.99 0.90
SR_exposed_ratio 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.63 0.49 0.28 0.83 0.98 0.94 0.87 0.65 0.49 0.27 0.85 0.96 0.93 0.90 0.50
SR_exposed_sum 1.00 1.00 0.89 1.00 1.00 1.00 1.00 1.00 1.00 0.87 1.00 1.00 1.00 1.00 0.99

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.96 0.96 0.93 0.96 0.97 0.97 0.97 0.95 0.93 0.94 0.96 0.97 0.97 0.96 0.96
SR_non_misinfo_reshared 1.00 1.00 0.89 1.00 1.00 1.00 1.00 1.00 1.00 0.92 1.00 1.00 1.00 1.00 1.00
LR_misinfo_reshared 0.44 0.29 0.30 0.45 0.52 0.50 0.48 0.35 0.33 0.26 0.45 0.49 0.48 0.45 0.13
LR_non_misinfo_reshared 0.72 0.56 0.29 0.86 0.96 0.95 0.86 0.77 0.56 0.32 0.86 0.97 0.96 0.92 0.57
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.91
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.94 0.89 0.57 0.97 1.00 1.00 0.97 0.96 0.82 0.60 1.00 1.00 1.00 0.99 0.90
SR_exposed_ratio 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.65 0.52 0.32 0.84 0.98 0.94 0.88 0.66 0.50 0.30 0.85 0.96 0.93 0.91 0.53
SR_exposed_sum 1.00 1.00 0.89 1.00 1.00 1.00 1.00 1.00 1.00 0.87 1.00 1.00 1.00 1.00 0.99

N=100k, p = 0.15, treatments = 14

power(N = 100000, 
      p_constant = 0.15, 
      n_treatments = 14, 
      r = 100, 
      alpha = 0.05)

none

Power Matrix: None Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.97 0.98 0.96 1.00 1.0 1.00 0.99 1.00 0.96 0.93 0.99 1.00 0.99 1.00 0.94
SR_non_misinfo_reshared 1.00 1.00 0.99 1.00 1.0 1.00 1.00 1.00 1.00 0.98 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.71 0.81 0.68 0.79 0.9 0.85 0.83 0.75 0.73 0.61 0.81 0.83 0.90 0.82 0.35
LR_non_misinfo_reshared 0.95 0.81 0.47 0.98 1.0 0.99 0.99 0.96 0.79 0.58 0.98 1.00 0.99 0.99 0.87
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.0 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.94
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.0 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 1.00 0.95 0.74 1.00 1.0 1.00 1.00 1.00 0.94 0.73 1.00 1.00 1.00 0.99 0.99
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.0 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.97 0.87 0.54 0.99 1.0 0.99 1.00 0.98 0.87 0.51 0.99 1.00 1.00 1.00 0.84
SR_exposed_sum 1.00 1.00 0.98 1.00 1.0 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00

bonferroni

Power Matrix: Bonferroni Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.91 0.90 0.87 0.93 0.97 0.96 0.92 0.91 0.92 0.89 0.91 0.97 0.97 0.95 0.84
SR_non_misinfo_reshared 1.00 1.00 0.82 1.00 1.00 1.00 1.00 1.00 1.00 0.83 1.00 1.00 1.00 1.00 0.98
LR_misinfo_reshared 0.37 0.31 0.25 0.41 0.56 0.60 0.47 0.33 0.24 0.26 0.37 0.58 0.58 0.48 0.06
LR_non_misinfo_reshared 0.74 0.56 0.14 0.91 0.97 0.98 0.96 0.69 0.45 0.22 0.85 0.97 0.95 0.93 0.58
LR_reshared_ratio 1.00 0.99 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 0.66
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.95 0.87 0.45 1.00 1.00 0.99 1.00 0.99 0.83 0.43 0.98 1.00 1.00 0.99 0.92
SR_exposed_ratio 1.00 1.00 0.94 1.00 1.00 1.00 1.00 1.00 1.00 0.97 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.80 0.50 0.22 0.90 1.00 0.97 0.97 0.75 0.54 0.14 0.88 0.97 1.00 0.98 0.58
SR_exposed_sum 1.00 1.00 0.90 1.00 1.00 1.00 1.00 0.99 1.00 0.87 1.00 1.00 1.00 1.00 1.00

holm

Power Matrix: Holm Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.92 0.93 0.93 0.97 0.98 0.97 0.96 0.95 0.93 0.91 0.95 0.98 0.97 0.96 0.92
SR_non_misinfo_reshared 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.98 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.43 0.43 0.36 0.51 0.59 0.63 0.56 0.43 0.38 0.38 0.50 0.61 0.60 0.57 0.12
LR_non_misinfo_reshared 0.80 0.65 0.30 0.94 0.99 0.99 0.99 0.85 0.65 0.41 0.92 0.97 0.98 0.95 0.78
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.94
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.99 0.93 0.71 1.00 1.00 1.00 1.00 0.99 0.91 0.68 0.99 1.00 1.00 0.99 0.98
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.89 0.70 0.37 0.95 1.00 0.97 0.98 0.90 0.72 0.39 0.96 0.99 1.00 1.00 0.75
SR_exposed_sum 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00

hochberg

Power Matrix: Hochberg Correction
T01 T02 T03 T04 T05 T06 T07 T08 T09 T10 T11 T12 T13 T14 T123_T567
SR_misinfo_reshared 0.92 0.93 0.93 0.97 0.99 0.98 0.96 0.95 0.93 0.91 0.95 0.99 0.97 0.96 0.92
SR_non_misinfo_reshared 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.98 1.00 1.00 1.00 1.00 0.99
LR_misinfo_reshared 0.49 0.47 0.39 0.56 0.63 0.66 0.59 0.48 0.43 0.43 0.57 0.67 0.65 0.62 0.14
LR_non_misinfo_reshared 0.81 0.68 0.37 0.94 0.99 0.99 0.99 0.88 0.67 0.46 0.93 0.97 0.98 0.95 0.80
LR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.94
SR_reshared_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_ratio 0.99 0.93 0.71 1.00 1.00 1.00 1.00 1.00 0.91 0.70 1.00 1.00 1.00 0.99 0.99
SR_exposed_ratio 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
LR_exposed_sum 0.89 0.75 0.43 0.95 1.00 0.98 0.98 0.94 0.75 0.42 0.96 0.99 1.00 1.00 0.79
SR_exposed_sum 1.00 1.00 0.98 1.00 1.00 1.00 1.00 1.00 1.00 0.99 1.00 1.00 1.00 1.00 1.00