  Dark matter is hypothetical matter believed to address the missing mass
problem in galaxies. However, alternative theories, such as Modified Newtonian
Dynamics (MOND), have been notably successful in explaining the missing mass
problem in various astrophysical systems. The vertical distribution function of
stars in the solar neighbourhood serves as a proxy to constrain galactic
dynamics in accordance to its contents. We employ both the vertical positional
and velocity distribution of stars in cylindrical coordinates with a radius of
150 pc and a half-height of 200 pc from the galactic plane. Our tracers consist
of main-sequence A, F, and early-G stars from the GAIA, RAVE, APOGEE, GALAH,
and LAMOST catalogues. We attempt to solve the missing mass in the solar
neighbourhood, interpreting it as either dark matter or MOND. Subsequently, we
compare both hypotheses newtonian gravity with dark matter and MOND, using the
Bayes factor (BF) to determine which one is more favoured by the data. We found
that the inferred dark matter in the solar neighbourhood is in range of $\sim
(0.01$-$0.07)$ M$_{\odot}$ pc$^{-3}$. We also determine that the MOND
hypothesis's acceleration parameter $a_0$ is $(1.26 \pm 0.13) \times 10^{-10}$
m s$^{-2}$ for simple interpolating function. The average of bayes factor for
all tracers between the two hypotheses is $\log \textrm{BF}\sim 0.1$, meaning
no strong evidence in favour of either the dark matter or MOND hypotheses.
