From a comprehensive analysis of the statistical factors available, it's safe to say that JIPPO showcased an exquisite performance in this game, as reflected in the decisive 5-0 win against Atlantis FC Akatemia in the Kakkonen league match on August 26th, 2023.

Statistical analysis shows that JIPPO exhibited a substantial advantage with their offensive efforts resulting in five successful goals, all netted in the second half. It shows a high-level team performance where they efficiently exploited their scoring opportunities when compared to Atlantis FC Akatemia, who failed to register a single goal. The exact dataset doesn't provide the number of shots on or off target by each team. However, considering the five goals scored by the home team, it's evident that the attacking side of JIPPO performed excellently.

Since there were no yellow or red cards given to either of the teams, we can infer that the match was played in a disciplined manner. As a result, both teams perhaps focussed mainly on their game plans and strategies. Nevertheless, JIPPO seemingly outshined Atlantis FC Akatemia in their effective implementation of strategies.

As far as goalkeeper saves, substitutions, corner kicks, fouls, and offsides are concerned, the provided dataset does not offer insights into these parameters. Thus, a comprehensive statistical comparison based on these factors cannot be drawn. Better data access, in the future, would allow a more in-depth analysis regarding the performance of goalkeepers, defence-lines and impacts of substitutes on the game.

In conclusion, JIPPO dominated over Atlantis FC Akatemia in this particular match, primarily evidenced by their commanding 5-0 win. The precise statistical factors dictating this overwhelming victory seem to be based heavily on efficient offensive gameplay. The absence of any mentioned disciplinary cards also indicates a well-behaved game, which might have played a role in JIPPO keeping their focus on their offence, leading to their significant victory.

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