mmlu: by models

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std predicted by accuracy

The typical stddev between pairs of models on this dataset as a function of the absolute accuracy.

Differences vs inconsistencies

Here is a more informative figure of the source information used to compute p-value. Any model pair to the right of the parabola is statistically different from each other at the given level. This plot shows a pretty sharp transition since there are no model pairs with a small #A_win + #B_win, which rules out significant results at a small difference in |#A_win-#B_win|. For more explanation see doc.

p-values for model pairs

The null hypothesis is that model A and B each have a 1/2 chance to win whenever they are different, ties are ignored. The p-value is the chance under the null-hypothesis to get a difference as extreme as the one observed. For all pairs of models, the significance level mainly depends on the accuracy difference as shown here. Hover over each model pair for detailed information.

Results table by model

We show 3 methods currently used for evaluating code models, raw accuracy used by benchmarks, average win-rate over all other models (used by BigCode), and Elo (Bradly-Terry coefficients following Chatbot Arena). Average win-rate always have good correlation with Elo. GPT-3.5 gets an ELO of 1000 when available, otherwise the average is 1000. std: standard deviation due to drawing examples from a population, this is the dominant term. std_i: the standard deviation due to drawing samples from the model on each example. std_total: the total standard deviation, satisfying std_total^2 = std^2 + std_i^2.

model pass1 std(E(A)) E(std(A)) std(A) N win_rate elo
Qwen1.5-110B 81.1 0.33 0 0.33 NaN 34 1.1e+03
Meta-Llama-3-70B 78.7 0.35 0 0.35 NaN 32.3 1.09e+03
Mixtral-8x22B-v0.1 77.6 0.35 0 0.35 NaN 31.6 1.09e+03
Qwen1.5-72B 77.2 0.35 0 0.35 NaN 31.1 1.09e+03
dbrx-base 74.3 0.37 0 0.37 NaN 29.5 1.08e+03
Qwen1.5-32B 73.6 0.37 0 0.37 NaN 28.8 1.08e+03
deepseek-llm-67b-base 71.4 0.38 0 0.38 NaN 27 1.07e+03
Mixtral-8x7B-v0.1 70.3 0.39 0 0.39 NaN 26.7 1.06e+03
Qwen1.5-14B 67.8 0.39 0 0.39 NaN 25.3 1.05e+03
Meta-Llama-3-8B 65.3 0.4 0 0.4 NaN 23.5 1.05e+03
llama2_70B 63.2 0.41 0 0.41 NaN 22.4 1.04e+03
gemma-7b 62.6 0.41 0 0.41 NaN 22.1 1.04e+03
Mistral-7B-v0.1 62.5 0.41 0 0.41 NaN 21.8 1.03e+03
llama_65B 62.2 0.41 0 0.41 NaN 22 1.03e+03
Qwen1.5-7B 60.5 0.41 0 0.41 NaN 21.1 1.03e+03
llama_33B 57 0.42 0 0.42 NaN 19.2 1.02e+03
falcon-40b 55.4 0.42 0 0.42 NaN 19 1.01e+03
Qwen1.5-4B 55.2 0.42 0 0.42 NaN 18.6 1.01e+03
llama2_13B 53.7 0.42 0 0.42 NaN 17.5 1e+03
deepseek-llm-7b-base 48.1 0.42 0 0.42 NaN 15.7 983
llama2_07B 47.3 0.42 0 0.42 NaN 15.1 980
mpt-30b 47 0.42 0 0.42 NaN 15.2 979
Qwen1.5-1.8B 45.6 0.42 0 0.42 NaN 15 974
llama_13B 45.6 0.42 0 0.42 NaN 14.3 974
deepseek-moe-16b-base 44.9 0.42 0 0.42 NaN 14.5 972
stablelm-3b-4e1t 44.4 0.42 0 0.42 NaN 14.3 970
stablelm-base-alpha-7b-v2 44.4 0.42 0 0.42 NaN 14.3 970
gemma-2b 41 0.42 0 0.42 NaN 14.3 958
Qwen1.5-0.5B 38.4 0.41 0 0.41 NaN 13 948
llama_07B 35.1 0.4 0 0.4 NaN 12.6 936
falcon-7b 27.2 0.38 0 0.38 NaN 11.1 906
pythia-2.8b-deduped 26.4 0.37 0 0.37 NaN 11.6 903
pythia-12b-deduped-v0 24.7 0.36 0 0.36 NaN 10.3 896
pythia-6.9b-deduped-v0 24.7 0.36 0 0.36 NaN 10.2 896
pythia-1b-deduped 24.6 0.36 0 0.36 NaN 10.8 896
pythia-1.4b-deduped-v0 23.3 0.36 0 0.36 NaN 10.2 891