By vs Per
#x27;By' and 'per' are prepositions that refer to measurments. In this lesson, we will learn their uses and differences.
![](https://www.researchgate.net/publication/26320598/figure/fig1/AS:601758917197829@1520481914213/CONSORT-diagram-ITT-intention-to-treat-PP-per-protocol.png)
CONSORT diagram. ITT, intention to treat; PP, per protocol
![](https://www.financestrategists.com/uploads/featured/Per-Stirpes-vs-Per-Capita-scaled.jpg)
Per Stirpes vs Per Capita Differences, Examples, Pros, & Cons
![](https://i.ytimg.com/vi/ZRiLDf1gB-s/maxresdefault.jpg)
Per Capita vs Per Stirpes & Right of Representation
![](https://uploads-ssl.webflow.com/5aca49c2e4871d18b5657ee4/5b01e14e077e7d620df733de_COLAs%20vs%20Per%20Diems.png)
COLAs vs. Per Diems Spectrum Group Consulting Services
![](https://le-cdn.hibuwebsites.com/868f442ed9d2440bace3eff508301344/dms3rep/multi/opt/per+capita-640w.png)
Per Capita
![](https://i.ytimg.com/vi/OFtc-ehiE2c/sddefault.jpg)
Understanding Intention to Treat vs Per Protocol Analysis — Eightify
![](https://ourworldindata.org/grapher/thumbnail/per-capita-co-emissions-vs-human-development-index.png?imType=og)
Consumption-based CO₂ emissions per capita vs. Human Development
![](https://search-static.byjusweb.com/question-images/toppr_ext/questions/173777.png)
Binding energy per nucleon vs. mass number curve nuclei is shown
![](https://www.wallstreetmojo.com/wp-content/uploads/2023/01/Per-Stirpes-vs-Per-Capita.png)
Per Stirpes - Meaning, Explained, Examples, Vs Per Capita
![](https://cdn.statcdn.com/Statistic/565000/565628-blank-754.png)
Time spent with digital vs. traditional media in the U.S. 2025
![](https://i0.wp.com/learn.valur.io/wp-content/uploads/2022/09/Captura-de-Pantalla-2022-09-27-a-las-11.42.32-1.png?fit=768%2C404&ssl=1)
Per Stripes vs. Per Capita • Learn with Valur
Correlation of energy consumption and GDP per person — European
![](https://www.coreimpodcast.com/wp-content/uploads/2023/10/ITT10.png)
Intention-to-Treat vs. Per Protocol AnalysisWhat's the
![](https://bestlawyer.guide/wp-content/uploads/2023/10/estate-planning-beneficiaries.jpg)
Estate Planning: Choosing Per Stirpes or Per Capita Distributions