Lol. I am not math minded. I have to sort math-y things out deliberately and look up a lot of terms. I thought this paper was very poorly written. I ended up teasing the info out nearly line by line with lots of going back and forth.
But I do want to know what the research found.
If it helps... this is my "notes" of the abstract, semi-quoted and semi-paraphrased, with some parts skipped and with definitions and context from other sources added as I needed them to understand. Generally info in straight brackets [like this] is not from this paper. This a very rough version of notes.
https://www.stonybrookmedicine.edu/patientcare/urology/SemenAnalysis
Recent febrile illness … may affect development of new sperm for up to 3 months [this is any fever; nothing to do with covid or covid vaccine]
[febrile illness is illness with a fever]
Commonly used normal semen parameters [to put the differences in the study into perspective because a 12 x 10 to the sixth change means one thing if the normal is 20 x10 to the sixth and a different thing if the normal were something very different such 2000 x 10 to the sixth]:
Volume >2.0 ML normal volume is usually between 2 and 6 ml
Concentration >20x10 to the sixth/ML
Motility >50%
Motility: is the ability of sperm to move effectively (as in with adequate speed and direction)
normally, more than 50% of the sperm in a specimen are motile
Motile sperm is defined as the sperm in the specimen that scored at least 2 on a scale of 0 to 4; 0 being no movement and 4 being extremely fast forward movement. 2 is slow and undirected movement, 2+ is slow forward movement
End of info from stonybrook link
Study included 4 phases
T0 (T zero) is the pre-vaccination baseline control
T1 is sample provided between 15 and 45 days after vax completion
T2 is sample provided between 75 and 120 days after vax completion
T3 is sample provided over 150 after vax completion
Primary endpoints were semen parameters.
Three statistical analyses were conducted
1) generalized estimated equation model (wikipedia has a page)
2) first sample the first semen sample of each donor [in each phase]
3) samples’ mean of each donor per period were compared o T0
[mean = mathematical average; add up all the numbers and divide by the number of numbers]
Results
Analysis 1 (generalized estimated equation model)
Repetitive measurements revealed a 15.4% sperm concentration decrease at T2 compared to T0
and a total motile count reduction of 22.1% at T2 compared to T0.
Analysis 2 (first sample only)
Resulted in concentration reductions and total motile count reductions of first sample given at T2 compared to the first sample given at T0 for each donor.
The median decline was 12 million/ml in concentration and the median decline was 31 million motile spermatozoa.
[median= the middle value in a list ordered smallest to largest]
Analysis 3 (mean of all the samples from a given donor)
Resulted in concentration reductions and total motile count reductions of the mean of all samples for each donor at T2 compared to the mean of all samples for each donor at T1.
The median decline was 9.5x10 to the sixth in concentration and the median decline was 27.3 million motile spermatozoa.
T1 was not referenced in the results section.
T3 was referenced in the results section, “T3 evaluation demonstrated overall recovery. Semen volume and sperm motility were not impaired.” However, the numbers comparing T3 to any other stage were not given in the results section. The numbers of the results of all phases are given in the tables.
Discussion: This longitudinal study focused on Sperm Donors demonstrates selective temporary sperm concentration and Total Motility Count deterioration three months after vaccination followed by later recovery verified by diverse statistical analyses.
"Conclusions: Systemic immune response after [Pfizer covid vax] is a reasonable cause for transient semen concentration and Total Motility Count decline. Long-term prognosis remains good."
End of notes.
It says "long- term prognosis remains good" but the numbers given in the table 2 show 20% fewer sperm that can move effectively at the long-term sample as well as the intermediate-term sample.