Umbhali: (1) UDANIEL BEASLEY Author: (1) UDANIEL BEASLEY Umbala we-Left Introduction Hypothesis testing 2.1 Introduction 2.2 Bayesian statistics 2.3 Test martingales 2.4 p-values 2.5 Optional Stopping and Peeking 2.6 Combining p-values and Optional Continuation 2.7 A/B testing Safe Tests 3.1 Introduction 3.2 Classical t-test 3.3 Safe t-test 3.4 χ2 -test 3.5 Safe Proportion Test Safe Testing Simulations 4.1 Introduction and 4.2 Python Implementation 4.3 Comparing the t-test with the Safe t-test 4.4 Comparing the χ2 -test with the safe proportion test Mixture sequential probability ratio test 5.1 Sequential Testing 5.2 Mixture SPRT 5.3 mSPRT and the safe t-test Online Controlled Experiments 6.1 Safe t-test on OCE datasets Vinted A/B tests and 7.1 Safe t-test for Vinted A/B tests 7.2 Safe proportion test for sample ratio mismatch Conclusion and References 1 Ukuqalisa I-Randomized Controlled Trials (RCTs) yi-Gold Standard for inferring causal relationships between treatments and effects. Ziyasetyenziswa ngokubanzi ngu-scientists ukucacisa ukufumana iingcebiso zabo. Kwiiminyaka emininzi ezidlulileyo, baye baye baye zibonise izicelo kwiimveliso ze-digital, phantsi kwegama ye-A/B test. I-A/B test yi-RCT efanelekileyo yokubala imiphumo ye-treatment (i-Group B) kunye ne-control (i-Group A). Iingqungquthela ezimbini zihlanganisa kunye ne-statistical test esetyenziselwa ukufikelela imiphumo. Zonke iimvavanyo ze-A/B zihlanganisa kwiimvavanyo ye-horizon ye-fixed. Le nqakraza ye-test kuquka ukucacisa inani lwabathengi eyenziwa kwiimvavanyo, ukucacisa idatha, kwaye ekugqibeleni ukucacisa imiphumela. Nangona kunjalo, le nqakraza ye-methode yokucaciswa ayinxalenye neenkqubo ye-infrastructure ye-data ye-modern kunye neengxaki ze-experimenters ukuba bafumane imiphumo ngokukhawuleza. Iimvavanyo ze-statistical ezintsha zithembisa iimvavanyo ukuba bafumane imvavanyo ye-horizon kwaye zihlanganise imiphumo yeemvavanyo ngexesha elinye. Le nqak Ukucaciswa okhuselekileyo yi-statistical theory esitsha eliphumeleleyo. Njengoko siyazi, i-safe A/B testing ivumela i-experimenters ukucacisa ngokuqhelekileyo imiphumo yeengxaki zabo ngaphandle ukwandisa ingozi yokwenza imiphumo embalwa. Ukongezelela, siya kufumana ukuba kufuneka iinkcukacha ezincinane kunokuba iingxaki ze-statistics ezijwayelekile ukufumana iimiphumo ezininzi. Iinkampani ezininzi zentsholongwane zentsholongwane zentsholongwane zentsholongwane ezincinane, kodwa iingxaki zentsholongwane zentsholongwane zentsholongwane zentsholongwane zentsholongwane ezininzi ezininzi ezininzi ezininzi ezidlulileyo ukuze Oku kubandakanya iingcebiso ze-6. I-Section 2 ibandakanya iingcebiso ze-hypothesis kunye nezinye iingcebiso ze-statistics ezinxulumene nabasebenzisi. I-Section 4 ibandakanya indlela yokuba iingcebiso ze-statistics ze-classic zibonisa iingxaki kubasebenzi. I-Section 3 ibandakanya iingcebiso ze-safe testing. Ukongezelela, ibandakanya i-test statistics ye-safe t-test kunye ne-safe proportion test. I-Section 4 ibandakanya ukusebenza kwe-safe statistics kwaye ibandakanya kunye neengcebiso zayo ze-classic. I-Section 5 ibandakanya i-test ye-safe kunye ne-test ye-middle-valid, i- Le nqaku lwabatholakala kwi-archiv phantsi kolawulo lwe-ATTRIBUTION-NONCOMMERCIAL-SHAREALIKE 4.0 INTERNATIONAL. Le nqaku Ngokutsho kwe-ATTRIBUTION-NONCOMMERCIAL-SHAREALIKE 4.0 INTERNATIONAL. Zifumaneka kwi-Archiv Zifumaneka kwi-Archiv
